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Simplifying 2x4 + 15x2 = -13x3 Reorder the terms: 15x2 + 2x4 = -13x3 Solving 15x2 + 2x4 = -13x3 Solving for variable 'x'. Reorder the terms: 15x2 + 13x3 + 2x4 = -13x3 + 13x3 Combine like terms: -13x3 + 13x3 = 0 15x2 + 13x3 + 2x4 = 0 Factor out the Greatest Common Factor (GCF), 'x2'. x2(15 + 13x + 2x2) = 0 Factor a trinomial. x2((5 + x)(3 + 2x)) = 0Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 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 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Subproblem 3
Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 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 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5Solution
x = {0, -5, -1.5}
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