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Simplifying -30x5 = 72x4 + -54x3 Reorder the terms: -30x5 = -54x3 + 72x4 Solving -30x5 = -54x3 + 72x4 Solving for variable 'x'. Reorder the terms: 54x3 + -72x4 + -30x5 = -54x3 + 72x4 + 54x3 + -72x4 Reorder the terms: 54x3 + -72x4 + -30x5 = -54x3 + 54x3 + 72x4 + -72x4 Combine like terms: -54x3 + 54x3 = 0 54x3 + -72x4 + -30x5 = 0 + 72x4 + -72x4 54x3 + -72x4 + -30x5 = 72x4 + -72x4 Combine like terms: 72x4 + -72x4 = 0 54x3 + -72x4 + -30x5 = 0 Factor out the Greatest Common Factor (GCF), '6x3'. 6x3(9 + -12x + -5x2) = 0 Factor a trinomial. 6x3((3 + -5x)(3 + x)) = 0 Ignore the factor 6.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 + -5x)' equal to zero and attempt to solve: Simplifying 3 + -5x = 0 Solving 3 + -5x = 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 + -5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 0 + -3 -5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6Subproblem 3
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {0.6, -3}
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