-4(7-x)(7+x)=4x(x-5)

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Solution for -4(7-x)(7+x)=4x(x-5) equation:


Simplifying
-4(7 + -1x)(7 + x) = 4x(x + -5)
Multiply (7 + -1x) * (7 + x)
-4(7(7 + x) + -1x * (7 + x)) = 4x(x + -5)
-4((7 * 7 + x * 7) + -1x * (7 + x)) = 4x(x + -5)
-4((49 + 7x) + -1x * (7 + x)) = 4x(x + -5)
-4(49 + 7x + (7 * -1x + x * -1x)) = 4x(x + -5)
-4(49 + 7x + (-7x + -1x2)) = 4x(x + -5)
Combine like terms: 7x + -7x = 0
-4(49 + 0 + -1x2) = 4x(x + -5)
-4(49 + -1x2) = 4x(x + -5)
(49 * -4 + -1x2 * -4) = 4x(x + -5)
(-196 + 4x2) = 4x(x + -5)
Reorder the terms:
-196 + 4x2 = 4x(-5 + x)
-196 + 4x2 = (-5 * 4x + x * 4x)
-196 + 4x2 = (-20x + 4x2)
Add '-4x2' to each side of the equation.
-196 + 4x2 + -4x2 = -20x + 4x2 + -4x2
Combine like terms: 4x2 + -4x2 = 0
-196 + 0 = -20x + 4x2 + -4x2
-196 = -20x + 4x2 + -4x2
Combine like terms: 4x2 + -4x2 = 0
-196 = -20x + 0
-196 = -20x
Solving
-196 = -20x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '20x' to each side of the equation.
-196 + 20x = -20x + 20x
Combine like terms: -20x + 20x = 0
-196 + 20x = 0
Add '196' to each side of the equation.
-196 + 196 + 20x = 0 + 196
Combine like terms: -196 + 196 = 0
0 + 20x = 0 + 196
20x = 0 + 196
Combine like terms: 0 + 196 = 196
20x = 196
Divide each side by '20'.
x = 9.8
Simplifying
x = 9.8

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