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Simplifying 6x4 = 15x3 + 36x2 Reorder the terms: 6x4 = 36x2 + 15x3 Solving 6x4 = 36x2 + 15x3 Solving for variable 'x'. Reorder the terms: -36x2 + -15x3 + 6x4 = 36x2 + 15x3 + -36x2 + -15x3 Reorder the terms: -36x2 + -15x3 + 6x4 = 36x2 + -36x2 + 15x3 + -15x3 Combine like terms: 36x2 + -36x2 = 0 -36x2 + -15x3 + 6x4 = 0 + 15x3 + -15x3 -36x2 + -15x3 + 6x4 = 15x3 + -15x3 Combine like terms: 15x3 + -15x3 = 0 -36x2 + -15x3 + 6x4 = 0 Factor out the Greatest Common Factor (GCF), '3x2'. 3x2(-12 + -5x + 2x2) = 0 Factor a trinomial. 3x2((-3 + -2x)(4 + -1x)) = 0 Ignore the factor 3.Subproblem 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 '(-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 = -1.5Subproblem 3
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {0, -1.5, 4}
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