(4x+2)(5x-5)=

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Solution for (4x+2)(5x-5)= equation:


Simplifying
(4x + 2)(5x + -5) = 0

Reorder the terms:
(2 + 4x)(5x + -5) = 0

Reorder the terms:
(2 + 4x)(-5 + 5x) = 0

Multiply (2 + 4x) * (-5 + 5x)
(2(-5 + 5x) + 4x * (-5 + 5x)) = 0
((-5 * 2 + 5x * 2) + 4x * (-5 + 5x)) = 0
((-10 + 10x) + 4x * (-5 + 5x)) = 0
(-10 + 10x + (-5 * 4x + 5x * 4x)) = 0
(-10 + 10x + (-20x + 20x2)) = 0

Combine like terms: 10x + -20x = -10x
(-10 + -10x + 20x2) = 0

Solving
-10 + -10x + 20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10'.
10(-1 + -1x + 2x2) = 0

Factor a trinomial.
10((-1 + -2x)(1 + -1x)) = 0

Ignore the factor 10.

Subproblem 1

Set the factor '(-1 + -2x)' equal to zero and attempt to solve: Simplifying -1 + -2x = 0 Solving -1 + -2x = 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 + -2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 0 + 1 -2x = 0 + 1 Combine like terms: 0 + 1 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5

Subproblem 2

Set 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

Solution

x = {-0.5, 1}

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