(4x-5)2-100=0

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Solution for (4x-5)2-100=0 equation:


Simplifying
(4x + -5) * 2 + -100 = 0

Reorder the terms:
(-5 + 4x) * 2 + -100 = 0

Reorder the terms for easier multiplication:
2(-5 + 4x) + -100 = 0
(-5 * 2 + 4x * 2) + -100 = 0
(-10 + 8x) + -100 = 0

Reorder the terms:
-10 + -100 + 8x = 0

Combine like terms: -10 + -100 = -110
-110 + 8x = 0

Solving
-110 + 8x = 0

Solving for variable 'x'.

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

Add '110' to each side of the equation.
-110 + 110 + 8x = 0 + 110

Combine like terms: -110 + 110 = 0
0 + 8x = 0 + 110
8x = 0 + 110

Combine like terms: 0 + 110 = 110
8x = 110

Divide each side by '8'.
x = 13.75

Simplifying
x = 13.75

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