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Simplifying x(x + 3)(2x + -5) = 0 Reorder the terms: x(3 + x)(2x + -5) = 0 Reorder the terms: x(3 + x)(-5 + 2x) = 0 Multiply (3 + x) * (-5 + 2x) x(3(-5 + 2x) + x(-5 + 2x)) = 0 x((-5 * 3 + 2x * 3) + x(-5 + 2x)) = 0 x((-15 + 6x) + x(-5 + 2x)) = 0 x(-15 + 6x + (-5 * x + 2x * x)) = 0 x(-15 + 6x + (-5x + 2x2)) = 0 Combine like terms: 6x + -5x = 1x x(-15 + 1x + 2x2) = 0 (-15 * x + 1x * x + 2x2 * x) = 0 (-15x + 1x2 + 2x3) = 0 Solving -15x + 1x2 + 2x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(-15 + x + 2x2) = 0 Factor a trinomial. x((-3 + -1x)(5 + -2x)) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 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 = -3Subproblem 3
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 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 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Solution
x = {0, -3, 2.5}
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