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Simplifying 81x2 = 126x + -49 Reorder the terms: 81x2 = -49 + 126x Solving 81x2 = -49 + 126x Solving for variable 'x'. Reorder the terms: 49 + -126x + 81x2 = -49 + 126x + 49 + -126x Reorder the terms: 49 + -126x + 81x2 = -49 + 49 + 126x + -126x Combine like terms: -49 + 49 = 0 49 + -126x + 81x2 = 0 + 126x + -126x 49 + -126x + 81x2 = 126x + -126x Combine like terms: 126x + -126x = 0 49 + -126x + 81x2 = 0 Factor a trinomial. (7 + -9x)(7 + -9x) = 0Subproblem 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 = 0.7777777778Subproblem 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 = {0.7777777778, 0.7777777778}
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