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Simplifying (5x + 6)(7x + -8) = 0 Reorder the terms: (6 + 5x)(7x + -8) = 0 Reorder the terms: (6 + 5x)(-8 + 7x) = 0 Multiply (6 + 5x) * (-8 + 7x) (6(-8 + 7x) + 5x * (-8 + 7x)) = 0 ((-8 * 6 + 7x * 6) + 5x * (-8 + 7x)) = 0 ((-48 + 42x) + 5x * (-8 + 7x)) = 0 (-48 + 42x + (-8 * 5x + 7x * 5x)) = 0 (-48 + 42x + (-40x + 35x2)) = 0 Combine like terms: 42x + -40x = 2x (-48 + 2x + 35x2) = 0 Solving -48 + 2x + 35x2 = 0 Solving for variable 'x'. Factor a trinomial. (-6 + -5x)(8 + -7x) = 0Subproblem 1
Set the factor '(-6 + -5x)' equal to zero and attempt to solve: Simplifying -6 + -5x = 0 Solving -6 + -5x = 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 + -5x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = 0 + 6 -5x = 0 + 6 Combine like terms: 0 + 6 = 6 -5x = 6 Divide each side by '-5'. x = -1.2 Simplifying x = -1.2Subproblem 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 = {-1.2, 1.142857143}
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