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Simplifying 75x5 + 60x4 = -12x3 Reorder the terms: 60x4 + 75x5 = -12x3 Solving 60x4 + 75x5 = -12x3 Solving for variable 'x'. Reorder the terms: 12x3 + 60x4 + 75x5 = -12x3 + 12x3 Combine like terms: -12x3 + 12x3 = 0 12x3 + 60x4 + 75x5 = 0 Factor out the Greatest Common Factor (GCF), '3x3'. 3x3(4 + 20x + 25x2) = 0 Factor a trinomial. 3x3((2 + 5x)(2 + 5x)) = 0 Ignore the factor 3.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 '(2 + 5x)' equal to zero and attempt to solve: Simplifying 2 + 5x = 0 Solving 2 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 0 + -2 5x = 0 + -2 Combine like terms: 0 + -2 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4Subproblem 3
Set the factor '(2 + 5x)' equal to zero and attempt to solve: Simplifying 2 + 5x = 0 Solving 2 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 0 + -2 5x = 0 + -2 Combine like terms: 0 + -2 = -2 5x = -2 Divide each side by '5'. x = -0.4 Simplifying x = -0.4Solution
x = {-0.4, -0.4}
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