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Simplifying 0 = 9x2 + -55x + -56 Reorder the terms: 0 = -56 + -55x + 9x2 Solving 0 = -56 + -55x + 9x2 Solving for variable 'x'. Combine like terms: 0 + 56 = 56 56 + 55x + -9x2 = -56 + -55x + 9x2 + 56 + 55x + -9x2 Reorder the terms: 56 + 55x + -9x2 = -56 + 56 + -55x + 55x + 9x2 + -9x2 Combine like terms: -56 + 56 = 0 56 + 55x + -9x2 = 0 + -55x + 55x + 9x2 + -9x2 56 + 55x + -9x2 = -55x + 55x + 9x2 + -9x2 Combine like terms: -55x + 55x = 0 56 + 55x + -9x2 = 0 + 9x2 + -9x2 56 + 55x + -9x2 = 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 56 + 55x + -9x2 = 0 Factor a trinomial. (7 + -1x)(8 + 9x) = 0Subproblem 1
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 = 7Subproblem 2
Set the factor '(8 + 9x)' equal to zero and attempt to solve: Simplifying 8 + 9x = 0 Solving 8 + 9x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 9x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 9x = 0 + -8 9x = 0 + -8 Combine like terms: 0 + -8 = -8 9x = -8 Divide each side by '9'. x = -0.8888888889 Simplifying x = -0.8888888889Solution
x = {7, -0.8888888889}
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