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Simplifying 56x2 = 79x + -9 Reorder the terms: 56x2 = -9 + 79x Solving 56x2 = -9 + 79x Solving for variable 'x'. Reorder the terms: 9 + -79x + 56x2 = -9 + 79x + 9 + -79x Reorder the terms: 9 + -79x + 56x2 = -9 + 9 + 79x + -79x Combine like terms: -9 + 9 = 0 9 + -79x + 56x2 = 0 + 79x + -79x 9 + -79x + 56x2 = 79x + -79x Combine like terms: 79x + -79x = 0 9 + -79x + 56x2 = 0 Factor a trinomial. (1 + -8x)(9 + -7x) = 0Subproblem 1
Set the factor '(1 + -8x)' equal to zero and attempt to solve: Simplifying 1 + -8x = 0 Solving 1 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -8x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8x = 0 + -1 -8x = 0 + -1 Combine like terms: 0 + -1 = -1 -8x = -1 Divide each side by '-8'. x = 0.125 Simplifying x = 0.125Subproblem 2
Set the factor '(9 + -7x)' equal to zero and attempt to solve: Simplifying 9 + -7x = 0 Solving 9 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -7x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7x = 0 + -9 -7x = 0 + -9 Combine like terms: 0 + -9 = -9 -7x = -9 Divide each side by '-7'. x = 1.285714286 Simplifying x = 1.285714286Solution
x = {0.125, 1.285714286}
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