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Simplifying (-1x + -3)(5x + 2) = 0 Reorder the terms: (-3 + -1x)(5x + 2) = 0 Reorder the terms: (-3 + -1x)(2 + 5x) = 0 Multiply (-3 + -1x) * (2 + 5x) (-3(2 + 5x) + -1x * (2 + 5x)) = 0 ((2 * -3 + 5x * -3) + -1x * (2 + 5x)) = 0 ((-6 + -15x) + -1x * (2 + 5x)) = 0 (-6 + -15x + (2 * -1x + 5x * -1x)) = 0 (-6 + -15x + (-2x + -5x2)) = 0 Combine like terms: -15x + -2x = -17x (-6 + -17x + -5x2) = 0 Solving -6 + -17x + -5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(6 + 17x + 5x2) = 0 Factor a trinomial. -1((3 + x)(2 + 5x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Subproblem 2
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 = -0.4Solution
x = {-3, -0.4}
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