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Simplifying (3x + 7)(8x + -5) = 0 Reorder the terms: (7 + 3x)(8x + -5) = 0 Reorder the terms: (7 + 3x)(-5 + 8x) = 0 Multiply (7 + 3x) * (-5 + 8x) (7(-5 + 8x) + 3x * (-5 + 8x)) = 0 ((-5 * 7 + 8x * 7) + 3x * (-5 + 8x)) = 0 ((-35 + 56x) + 3x * (-5 + 8x)) = 0 (-35 + 56x + (-5 * 3x + 8x * 3x)) = 0 (-35 + 56x + (-15x + 24x2)) = 0 Combine like terms: 56x + -15x = 41x (-35 + 41x + 24x2) = 0 Solving -35 + 41x + 24x2 = 0 Solving for variable 'x'. Factor a trinomial. (-7 + -3x)(5 + -8x) = 0Subproblem 1
Set the factor '(-7 + -3x)' equal to zero and attempt to solve: Simplifying -7 + -3x = 0 Solving -7 + -3x = 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 + -3x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = 0 + 7 -3x = 0 + 7 Combine like terms: 0 + 7 = 7 -3x = 7 Divide each side by '-3'. x = -2.333333333 Simplifying x = -2.333333333Subproblem 2
Set the factor '(5 + -8x)' equal to zero and attempt to solve: Simplifying 5 + -8x = 0 Solving 5 + -8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -8x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8x = 0 + -5 -8x = 0 + -5 Combine like terms: 0 + -5 = -5 -8x = -5 Divide each side by '-8'. x = 0.625 Simplifying x = 0.625Solution
x = {-2.333333333, 0.625}
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