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Simplifying 4x7 + -26x6 = 48x5 Reorder the terms: -26x6 + 4x7 = 48x5 Solving -26x6 + 4x7 = 48x5 Solving for variable 'x'. Reorder the terms: -48x5 + -26x6 + 4x7 = 48x5 + -48x5 Combine like terms: 48x5 + -48x5 = 0 -48x5 + -26x6 + 4x7 = 0 Factor out the Greatest Common Factor (GCF), '2x5'. 2x5(-24 + -13x + 2x2) = 0 Factor a trinomial. 2x5((-3 + -2x)(8 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'x5' equal to zero and attempt to solve: Simplifying x5 = 0 Solving x5 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x5 = 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 '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {-1.5, 8}
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