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Simplifying (-5x + -3)(2x + 1) = 0 Reorder the terms: (-3 + -5x)(2x + 1) = 0 Reorder the terms: (-3 + -5x)(1 + 2x) = 0 Multiply (-3 + -5x) * (1 + 2x) (-3(1 + 2x) + -5x * (1 + 2x)) = 0 ((1 * -3 + 2x * -3) + -5x * (1 + 2x)) = 0 ((-3 + -6x) + -5x * (1 + 2x)) = 0 (-3 + -6x + (1 * -5x + 2x * -5x)) = 0 (-3 + -6x + (-5x + -10x2)) = 0 Combine like terms: -6x + -5x = -11x (-3 + -11x + -10x2) = 0 Solving -3 + -11x + -10x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(3 + 11x + 10x2) = 0 Factor a trinomial. -1((3 + 5x)(1 + 2x)) = 0 Ignore the factor -1.Subproblem 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 '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5Solution
x = {-0.6, -0.5}
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