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Simplifying 9x2 = 61x + 14 Reorder the terms: 9x2 = 14 + 61x Solving 9x2 = 14 + 61x Solving for variable 'x'. Reorder the terms: -14 + -61x + 9x2 = 14 + 61x + -14 + -61x Reorder the terms: -14 + -61x + 9x2 = 14 + -14 + 61x + -61x Combine like terms: 14 + -14 = 0 -14 + -61x + 9x2 = 0 + 61x + -61x -14 + -61x + 9x2 = 61x + -61x Combine like terms: 61x + -61x = 0 -14 + -61x + 9x2 = 0 Factor a trinomial. (-2 + -9x)(7 + -1x) = 0Subproblem 1
Set the factor '(-2 + -9x)' equal to zero and attempt to solve: Simplifying -2 + -9x = 0 Solving -2 + -9x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -9x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -9x = 0 + 2 -9x = 0 + 2 Combine like terms: 0 + 2 = 2 -9x = 2 Divide each side by '-9'. x = -0.2222222222 Simplifying x = -0.2222222222Subproblem 2
Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 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 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7Solution
x = {-0.2222222222, 7}
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