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Simplifying (8x + -3)(5x + 7) = 0 Reorder the terms: (-3 + 8x)(5x + 7) = 0 Reorder the terms: (-3 + 8x)(7 + 5x) = 0 Multiply (-3 + 8x) * (7 + 5x) (-3(7 + 5x) + 8x * (7 + 5x)) = 0 ((7 * -3 + 5x * -3) + 8x * (7 + 5x)) = 0 ((-21 + -15x) + 8x * (7 + 5x)) = 0 (-21 + -15x + (7 * 8x + 5x * 8x)) = 0 (-21 + -15x + (56x + 40x2)) = 0 Combine like terms: -15x + 56x = 41x (-21 + 41x + 40x2) = 0 Solving -21 + 41x + 40x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -5x)(3 + -8x) = 0Subproblem 1
Set the factor '(-7 + -5x)' equal to zero and attempt to solve: Simplifying -7 + -5x = 0 Solving -7 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -5x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5x = 0 + 7 -5x = 0 + 7 Combine like terms: 0 + 7 = 7 -5x = 7 Divide each side by '-5'. x = -1.4 Simplifying x = -1.4Subproblem 2
Set the factor '(3 + -8x)' equal to zero and attempt to solve: Simplifying 3 + -8x = 0 Solving 3 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -8x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8x = 0 + -3 -8x = 0 + -3 Combine like terms: 0 + -3 = -3 -8x = -3 Divide each side by '-8'. x = 0.375 Simplifying x = 0.375Solution
x = {-1.4, 0.375}
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