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Simplifying 8x5 = 18x4 + 5x3 Reorder the terms: 8x5 = 5x3 + 18x4 Solving 8x5 = 5x3 + 18x4 Solving for variable 'x'. Reorder the terms: -5x3 + -18x4 + 8x5 = 5x3 + 18x4 + -5x3 + -18x4 Reorder the terms: -5x3 + -18x4 + 8x5 = 5x3 + -5x3 + 18x4 + -18x4 Combine like terms: 5x3 + -5x3 = 0 -5x3 + -18x4 + 8x5 = 0 + 18x4 + -18x4 -5x3 + -18x4 + 8x5 = 18x4 + -18x4 Combine like terms: 18x4 + -18x4 = 0 -5x3 + -18x4 + 8x5 = 0 Factor out the Greatest Common Factor (GCF), 'x3'. x3(-5 + -18x + 8x2) = 0 Factor a trinomial. x3((-1 + -4x)(5 + -2x)) = 0Subproblem 1
Set the factor 'x3' equal to zero and attempt to solve: Simplifying x3 = 0 Solving x3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-1 + -4x)' equal to zero and attempt to solve: Simplifying -1 + -4x = 0 Solving -1 + -4x = 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 + -4x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -4x = 0 + 1 -4x = 0 + 1 Combine like terms: 0 + 1 = 1 -4x = 1 Divide each side by '-4'. x = -0.25 Simplifying x = -0.25Subproblem 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 = {-0.25, 2.5}
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