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

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


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

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

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

Multiply (-2 + 5x) * (-4 + 4x)
(-2(-4 + 4x) + 5x * (-4 + 4x)) = 0
((-4 * -2 + 4x * -2) + 5x * (-4 + 4x)) = 0
((8 + -8x) + 5x * (-4 + 4x)) = 0
(8 + -8x + (-4 * 5x + 4x * 5x)) = 0
(8 + -8x + (-20x + 20x2)) = 0

Combine like terms: -8x + -20x = -28x
(8 + -28x + 20x2) = 0

Solving
8 + -28x + 20x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(2 + -7x + 5x2) = 0

Factor a trinomial.
4((2 + -5x)(1 + -1x)) = 0

Ignore the factor 4.

Subproblem 1

Set the factor '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 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 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4

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 = {0.4, 1}

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