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Simplifying (6 + -7x)(8 + 9x) = 0 Multiply (6 + -7x) * (8 + 9x) (6(8 + 9x) + -7x * (8 + 9x)) = 0 ((8 * 6 + 9x * 6) + -7x * (8 + 9x)) = 0 ((48 + 54x) + -7x * (8 + 9x)) = 0 (48 + 54x + (8 * -7x + 9x * -7x)) = 0 (48 + 54x + (-56x + -63x2)) = 0 Combine like terms: 54x + -56x = -2x (48 + -2x + -63x2) = 0 Solving 48 + -2x + -63x2 = 0 Solving for variable 'x'. Factor a trinomial. (6 + -7x)(8 + 9x) = 0Subproblem 1
Set the factor '(6 + -7x)' equal to zero and attempt to solve: Simplifying 6 + -7x = 0 Solving 6 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -7x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -7x = 0 + -6 -7x = 0 + -6 Combine like terms: 0 + -6 = -6 -7x = -6 Divide each side by '-7'. x = 0.8571428571 Simplifying x = 0.8571428571Subproblem 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 = {0.8571428571, -0.8888888889}
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