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Simplifying 81x2 = -54x + 91 Reorder the terms: 81x2 = 91 + -54x Solving 81x2 = 91 + -54x Solving for variable 'x'. Reorder the terms: -91 + 54x + 81x2 = 91 + -54x + -91 + 54x Reorder the terms: -91 + 54x + 81x2 = 91 + -91 + -54x + 54x Combine like terms: 91 + -91 = 0 -91 + 54x + 81x2 = 0 + -54x + 54x -91 + 54x + 81x2 = -54x + 54x Combine like terms: -54x + 54x = 0 -91 + 54x + 81x2 = 0 Factor a trinomial. (-13 + -9x)(7 + -9x) = 0Subproblem 1
Set the factor '(-13 + -9x)' equal to zero and attempt to solve: Simplifying -13 + -9x = 0 Solving -13 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + -9x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -9x = 0 + 13 -9x = 0 + 13 Combine like terms: 0 + 13 = 13 -9x = 13 Divide each side by '-9'. x = -1.444444444 Simplifying x = -1.444444444Subproblem 2
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 = 0.7777777778Solution
x = {-1.444444444, 0.7777777778}
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