# (3x-2)(5x-7)=

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## Solution for (3x-2)(5x-7)= equation:

Simplifying
(3x + -2)(5x + -7) = 0
Reorder the terms:
(-2 + 3x)(5x + -7) = 0
Reorder the terms:
(-2 + 3x)(-7 + 5x) = 0
Multiply (-2 + 3x) * (-7 + 5x)
(-2(-7 + 5x) + 3x * (-7 + 5x)) = 0
((-7 * -2 + 5x * -2) + 3x * (-7 + 5x)) = 0
((14 + -10x) + 3x * (-7 + 5x)) = 0
(14 + -10x + (-7 * 3x + 5x * 3x)) = 0
(14 + -10x + (-21x + 15x2)) = 0
Combine like terms: -10x + -21x = -31x
(14 + -31x + 15x2) = 0
Solving
14 + -31x + 15x2 = 0
Solving for variable 'x'.
Factor a trinomial.
(2 + -3x)(7 + -5x) = 0
Subproblem 1Set the factor '(2 + -3x)' equal to zero and attempt to solve:
Simplifying
2 + -3x = 0
Solving
2 + -3x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-2' to each side of the equation.
2 + -2 + -3x = 0 + -2
Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2
Combine like terms: 0 + -2 = -2
-3x = -2
Divide each side by '-3'.
x = 0.6666666667
Simplifying
x = 0.6666666667
Subproblem 2Set the factor '(7 + -5x)' equal to zero and attempt to solve:
Simplifying
7 + -5x = 0
Solving
7 + -5x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-7' to each side of the equation.
7 + -7 + -5x = 0 + -7
Combine like terms: 7 + -7 = 0
0 + -5x = 0 + -7
-5x = 0 + -7
Combine like terms: 0 + -7 = -7
-5x = -7
Divide each side by '-5'.
x = 1.4
Simplifying
x = 1.4Solutionx = {0.6666666667, 1.4}`

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