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Simplifying 2x(x + 3)(5x + -1) = 0 Reorder the terms: 2x(3 + x)(5x + -1) = 0 Reorder the terms: 2x(3 + x)(-1 + 5x) = 0 Multiply (3 + x) * (-1 + 5x) 2x(3(-1 + 5x) + x(-1 + 5x)) = 0 2x((-1 * 3 + 5x * 3) + x(-1 + 5x)) = 0 2x((-3 + 15x) + x(-1 + 5x)) = 0 2x(-3 + 15x + (-1 * x + 5x * x)) = 0 2x(-3 + 15x + (-1x + 5x2)) = 0 Combine like terms: 15x + -1x = 14x 2x(-3 + 14x + 5x2) = 0 (-3 * 2x + 14x * 2x + 5x2 * 2x) = 0 (-6x + 28x2 + 10x3) = 0 Solving -6x + 28x2 + 10x3 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x'. 2x(-3 + 14x + 5x2) = 0 Factor a trinomial. 2x((-3 + -1x)(1 + -5x)) = 0 Ignore the factor 2.Subproblem 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 '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 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 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2Solution
x = {0, -3, 0.2}
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