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Simplifying -20x5 = -26x4 + -6x3 Reorder the terms: -20x5 = -6x3 + -26x4 Solving -20x5 = -6x3 + -26x4 Solving for variable 'x'. Reorder the terms: 6x3 + 26x4 + -20x5 = -6x3 + -26x4 + 6x3 + 26x4 Reorder the terms: 6x3 + 26x4 + -20x5 = -6x3 + 6x3 + -26x4 + 26x4 Combine like terms: -6x3 + 6x3 = 0 6x3 + 26x4 + -20x5 = 0 + -26x4 + 26x4 6x3 + 26x4 + -20x5 = -26x4 + 26x4 Combine like terms: -26x4 + 26x4 = 0 6x3 + 26x4 + -20x5 = 0 Factor out the Greatest Common Factor (GCF), '2x3'. 2x3(3 + 13x + -10x2) = 0 Factor a trinomial. 2x3((3 + -2x)(1 + 5x)) = 0 Ignore the factor 2.Subproblem 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 '(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 '(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 = {1.5, -0.2}
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