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Simplifying (x + -3)(5x + 2) = 0 Reorder the terms: (-3 + x)(5x + 2) = 0 Reorder the terms: (-3 + x)(2 + 5x) = 0 Multiply (-3 + x) * (2 + 5x) (-3(2 + 5x) + x(2 + 5x)) = 0 ((2 * -3 + 5x * -3) + x(2 + 5x)) = 0 ((-6 + -15x) + x(2 + 5x)) = 0 (-6 + -15x + (2 * x + 5x * x)) = 0 (-6 + -15x + (2x + 5x2)) = 0 Combine like terms: -15x + 2x = -13x (-6 + -13x + 5x2) = 0 Solving -6 + -13x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -5x)(3 + -1x) = 0Subproblem 1
Set the factor '(-2 + -5x)' equal to zero and attempt to solve: Simplifying -2 + -5x = 0 Solving -2 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -5x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = 0 + 2 -5x = 0 + 2 Combine like terms: 0 + 2 = 2 -5x = 2 Divide each side by '-5'. x = -0.4 Simplifying x = -0.4Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 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 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-0.4, 3}
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