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Simplifying (-8x + 13)(-11x + 10) = 0 Reorder the terms: (13 + -8x)(-11x + 10) = 0 Reorder the terms: (13 + -8x)(10 + -11x) = 0 Multiply (13 + -8x) * (10 + -11x) (13(10 + -11x) + -8x * (10 + -11x)) = 0 ((10 * 13 + -11x * 13) + -8x * (10 + -11x)) = 0 ((130 + -143x) + -8x * (10 + -11x)) = 0 (130 + -143x + (10 * -8x + -11x * -8x)) = 0 (130 + -143x + (-80x + 88x2)) = 0 Combine like terms: -143x + -80x = -223x (130 + -223x + 88x2) = 0 Solving 130 + -223x + 88x2 = 0 Solving for variable 'x'. Factor a trinomial. (10 + -11x)(13 + -8x) = 0Subproblem 1
Set the factor '(10 + -11x)' equal to zero and attempt to solve: Simplifying 10 + -11x = 0 Solving 10 + -11x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -11x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -11x = 0 + -10 -11x = 0 + -10 Combine like terms: 0 + -10 = -10 -11x = -10 Divide each side by '-11'. x = 0.9090909091 Simplifying x = 0.9090909091Subproblem 2
Set the factor '(13 + -8x)' equal to zero and attempt to solve: Simplifying 13 + -8x = 0 Solving 13 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -8x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -8x = 0 + -13 -8x = 0 + -13 Combine like terms: 0 + -13 = -13 -8x = -13 Divide each side by '-8'. x = 1.625 Simplifying x = 1.625Solution
x = {0.9090909091, 1.625}
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