10(x-4)2-18(x-4)-36=0

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Solution for 10(x-4)2-18(x-4)-36=0 equation:


Simplifying
10(x + -4) * 2 + -18(x + -4) + -36 = 0

Reorder the terms:
10(-4 + x) * 2 + -18(x + -4) + -36 = 0

Reorder the terms for easier multiplication:
10 * 2(-4 + x) + -18(x + -4) + -36 = 0

Multiply 10 * 2
20(-4 + x) + -18(x + -4) + -36 = 0
(-4 * 20 + x * 20) + -18(x + -4) + -36 = 0
(-80 + 20x) + -18(x + -4) + -36 = 0

Reorder the terms:
-80 + 20x + -18(-4 + x) + -36 = 0
-80 + 20x + (-4 * -18 + x * -18) + -36 = 0
-80 + 20x + (72 + -18x) + -36 = 0

Reorder the terms:
-80 + 72 + -36 + 20x + -18x = 0

Combine like terms: -80 + 72 = -8
-8 + -36 + 20x + -18x = 0

Combine like terms: -8 + -36 = -44
-44 + 20x + -18x = 0

Combine like terms: 20x + -18x = 2x
-44 + 2x = 0

Solving
-44 + 2x = 0

Solving for variable 'x'.

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

Add '44' to each side of the equation.
-44 + 44 + 2x = 0 + 44

Combine like terms: -44 + 44 = 0
0 + 2x = 0 + 44
2x = 0 + 44

Combine like terms: 0 + 44 = 44
2x = 44

Divide each side by '2'.
x = 22

Simplifying
x = 22

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