81(x-1)(x-1)=4

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Solution for 81(x-1)(x-1)=4 equation:


Simplifying
81(x + -1)(x + -1) = 4

Reorder the terms:
81(-1 + x)(x + -1) = 4

Reorder the terms:
81(-1 + x)(-1 + x) = 4

Multiply (-1 + x) * (-1 + x)
81(-1(-1 + x) + x(-1 + x)) = 4
81((-1 * -1 + x * -1) + x(-1 + x)) = 4
81((1 + -1x) + x(-1 + x)) = 4
81(1 + -1x + (-1 * x + x * x)) = 4
81(1 + -1x + (-1x + x2)) = 4

Combine like terms: -1x + -1x = -2x
81(1 + -2x + x2) = 4
(1 * 81 + -2x * 81 + x2 * 81) = 4
(81 + -162x + 81x2) = 4

Solving
81 + -162x + 81x2 = 4

Solving for variable 'x'.

Reorder the terms:
81 + -4 + -162x + 81x2 = 4 + -4

Combine like terms: 81 + -4 = 77
77 + -162x + 81x2 = 4 + -4

Combine like terms: 4 + -4 = 0
77 + -162x + 81x2 = 0

Factor a trinomial.
(7 + -9x)(11 + -9x) = 0

Subproblem 1

Set the factor '(7 + -9x)' equal to zero and attempt to solve: Simplifying 7 + -9x = 0 Solving 7 + -9x = 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 + -9x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -9x = 0 + -7 -9x = 0 + -7 Combine like terms: 0 + -7 = -7 -9x = -7 Divide each side by '-9'. x = 0.7777777778 Simplifying x = 0.7777777778

Subproblem 2

Set the factor '(11 + -9x)' equal to zero and attempt to solve: Simplifying 11 + -9x = 0 Solving 11 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -9x = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -9x = 0 + -11 -9x = 0 + -11 Combine like terms: 0 + -11 = -11 -9x = -11 Divide each side by '-9'. x = 1.222222222 Simplifying x = 1.222222222

Solution

x = {0.7777777778, 1.222222222}

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