81-2(x-1)2=51

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Solution for 81-2(x-1)2=51 equation:


Simplifying
81 + -2(x + -1) * 2 = 51

Reorder the terms:
81 + -2(-1 + x) * 2 = 51

Reorder the terms for easier multiplication:
81 + -2 * 2(-1 + x) = 51

Multiply -2 * 2
81 + -4(-1 + x) = 51
81 + (-1 * -4 + x * -4) = 51
81 + (4 + -4x) = 51

Combine like terms: 81 + 4 = 85
85 + -4x = 51

Solving
85 + -4x = 51

Solving for variable 'x'.

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

Add '-85' to each side of the equation.
85 + -85 + -4x = 51 + -85

Combine like terms: 85 + -85 = 0
0 + -4x = 51 + -85
-4x = 51 + -85

Combine like terms: 51 + -85 = -34
-4x = -34

Divide each side by '-4'.
x = 8.5

Simplifying
x = 8.5

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