# 2x(x-3)=8

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## Solution for 2x(x-3)=8 equation:

Simplifying
2x(x + -3) = 8
Reorder the terms:
2x(-3 + x) = 8
(-3 * 2x + x * 2x) = 8
(-6x + 2x2) = 8
Solving
-6x + 2x2 = 8
Solving for variable 'x'.
Reorder the terms:
-8 + -6x + 2x2 = 8 + -8
Combine like terms: 8 + -8 = 0
-8 + -6x + 2x2 = 0
Factor out the Greatest Common Factor (GCF), '2'.
2(-4 + -3x + x2) = 0
Factor a trinomial.
2((-1 + -1x)(4 + -1x)) = 0
Ignore the factor 2.
Subproblem 1Set the factor '(-1 + -1x)' equal to zero and attempt to solve:
Simplifying
-1 + -1x = 0
Solving
-1 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '1' to each side of the equation.
-1 + 1 + -1x = 0 + 1
Combine like terms: -1 + 1 = 0
0 + -1x = 0 + 1
-1x = 0 + 1
Combine like terms: 0 + 1 = 1
-1x = 1
Divide each side by '-1'.
x = -1
Simplifying
x = -1
Subproblem 2Set the factor '(4 + -1x)' equal to zero and attempt to solve:
Simplifying
4 + -1x = 0
Solving
4 + -1x = 0
Move all terms containing x to the left, all other terms to the right.
Add '-4' to each side of the equation.
4 + -4 + -1x = 0 + -4
Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4
Combine like terms: 0 + -4 = -4
-1x = -4
Divide each side by '-1'.
x = 4
Simplifying
x = 4Solutionx = {-1, 4}`