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Simplifying 0 = 63x2 + 23x + -56 Reorder the terms: 0 = -56 + 23x + 63x2 Solving 0 = -56 + 23x + 63x2 Solving for variable 'x'. Combine like terms: 0 + 56 = 56 56 + -23x + -63x2 = -56 + 23x + 63x2 + 56 + -23x + -63x2 Reorder the terms: 56 + -23x + -63x2 = -56 + 56 + 23x + -23x + 63x2 + -63x2 Combine like terms: -56 + 56 = 0 56 + -23x + -63x2 = 0 + 23x + -23x + 63x2 + -63x2 56 + -23x + -63x2 = 23x + -23x + 63x2 + -63x2 Combine like terms: 23x + -23x = 0 56 + -23x + -63x2 = 0 + 63x2 + -63x2 56 + -23x + -63x2 = 63x2 + -63x2 Combine like terms: 63x2 + -63x2 = 0 56 + -23x + -63x2 = 0 Factor a trinomial. (7 + -9x)(8 + 7x) = 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 '(8 + 7x)' equal to zero and attempt to solve: Simplifying 8 + 7x = 0 Solving 8 + 7x = 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 + 7x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7x = 0 + -8 7x = 0 + -8 Combine like terms: 0 + -8 = -8 7x = -8 Divide each side by '7'. x = -1.142857143 Simplifying x = -1.142857143Solution
x = {0.7777777778, -1.142857143}
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