(4x-10)(4x-10)=

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Solution for (4x-10)(4x-10)= equation:


Simplifying
(4x + -10)(4x + -10) = 0

Reorder the terms:
(-10 + 4x)(4x + -10) = 0

Reorder the terms:
(-10 + 4x)(-10 + 4x) = 0

Multiply (-10 + 4x) * (-10 + 4x)
(-10(-10 + 4x) + 4x * (-10 + 4x)) = 0
((-10 * -10 + 4x * -10) + 4x * (-10 + 4x)) = 0
((100 + -40x) + 4x * (-10 + 4x)) = 0
(100 + -40x + (-10 * 4x + 4x * 4x)) = 0
(100 + -40x + (-40x + 16x2)) = 0

Combine like terms: -40x + -40x = -80x
(100 + -80x + 16x2) = 0

Solving
100 + -80x + 16x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(25 + -20x + 4x2) = 0

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

Ignore the factor 4.

Subproblem 1
Set the factor '(5 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5

Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve:

Simplifying
5 + -2x = 0

Solving
5 + -2x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + -2x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -2x = 0 + -5
-2x = 0 + -5

Combine like terms: 0 + -5 = -5
-2x = -5

Divide each side by '-2'.
x = 2.5

Simplifying
x = 2.5
Solution
x = {2.5, 2.5}

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