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Simplifying (7x + 8)(5x + -6) = 0 Reorder the terms: (8 + 7x)(5x + -6) = 0 Reorder the terms: (8 + 7x)(-6 + 5x) = 0 Multiply (8 + 7x) * (-6 + 5x) (8(-6 + 5x) + 7x * (-6 + 5x)) = 0 ((-6 * 8 + 5x * 8) + 7x * (-6 + 5x)) = 0 ((-48 + 40x) + 7x * (-6 + 5x)) = 0 (-48 + 40x + (-6 * 7x + 5x * 7x)) = 0 (-48 + 40x + (-42x + 35x2)) = 0 Combine like terms: 40x + -42x = -2x (-48 + -2x + 35x2) = 0 Solving -48 + -2x + 35x2 = 0 Solving for variable 'x'. Factor a trinomial. (-8 + -7x)(6 + -5x) = 0Subproblem 1
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 = -1.142857143Subproblem 2
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 = 1.2Solution
x = {-1.142857143, 1.2}
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