(-5x+2)(-5x+2)=25

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Solution for (-5x+2)(-5x+2)=25 equation:


Simplifying
(-5x + 2)(-5x + 2) = 25

Reorder the terms:
(2 + -5x)(-5x + 2) = 25

Reorder the terms:
(2 + -5x)(2 + -5x) = 25

Multiply (2 + -5x) * (2 + -5x)
(2(2 + -5x) + -5x * (2 + -5x)) = 25
((2 * 2 + -5x * 2) + -5x * (2 + -5x)) = 25
((4 + -10x) + -5x * (2 + -5x)) = 25
(4 + -10x + (2 * -5x + -5x * -5x)) = 25
(4 + -10x + (-10x + 25x2)) = 25

Combine like terms: -10x + -10x = -20x
(4 + -20x + 25x2) = 25

Solving
4 + -20x + 25x2 = 25

Solving for variable 'x'.

Reorder the terms:
4 + -25 + -20x + 25x2 = 25 + -25

Combine like terms: 4 + -25 = -21
-21 + -20x + 25x2 = 25 + -25

Combine like terms: 25 + -25 = 0
-21 + -20x + 25x2 = 0

Factor a trinomial.
(-3 + -5x)(7 + -5x) = 0

Subproblem 1

Set the factor '(-3 + -5x)' equal to zero and attempt to solve: Simplifying -3 + -5x = 0 Solving -3 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -5x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = 0 + 3 -5x = 0 + 3 Combine like terms: 0 + 3 = 3 -5x = 3 Divide each side by '-5'. x = -0.6 Simplifying x = -0.6

Subproblem 2

Set 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 = 1.4

Solution

x = {-0.6, 1.4}

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