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Simplifying (5x + 3)(8x + -3) = 0 Reorder the terms: (3 + 5x)(8x + -3) = 0 Reorder the terms: (3 + 5x)(-3 + 8x) = 0 Multiply (3 + 5x) * (-3 + 8x) (3(-3 + 8x) + 5x * (-3 + 8x)) = 0 ((-3 * 3 + 8x * 3) + 5x * (-3 + 8x)) = 0 ((-9 + 24x) + 5x * (-3 + 8x)) = 0 (-9 + 24x + (-3 * 5x + 8x * 5x)) = 0 (-9 + 24x + (-15x + 40x2)) = 0 Combine like terms: 24x + -15x = 9x (-9 + 9x + 40x2) = 0 Solving -9 + 9x + 40x2 = 0 Solving for variable 'x'. Factor a trinomial. (-3 + -5x)(3 + -8x) = 0Subproblem 1
Set the factor '(-3 + -5x)' equal to zero and attempt to solve: Simplifying -3 + -5x = 0 Solving -3 + -5x = 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 + -5x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = 0 + 3 -5x = 0 + 3 Combine like terms: 0 + 3 = 3 -5x = 3 Divide each side by '-5'. x = -0.6 Simplifying x = -0.6Subproblem 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 = {-0.6, 0.375}
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