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Simplifying 12x7 + -30x3 + 2x5 = 0 Reorder the terms: -30x3 + 2x5 + 12x7 = 0 Solving -30x3 + 2x5 + 12x7 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2x3'. 2x3(-15 + x2 + 6x4) = 0 Factor a trinomial. 2x3((-5 + -3x2)(3 + -2x2)) = 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 '(-5 + -3x2)' equal to zero and attempt to solve: Simplifying -5 + -3x2 = 0 Solving -5 + -3x2 = 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 + -3x2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -3x2 = 0 + 5 -3x2 = 0 + 5 Combine like terms: 0 + 5 = 5 -3x2 = 5 Divide each side by '-3'. x2 = -1.666666667 Simplifying x2 = -1.666666667 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(3 + -2x2)' equal to zero and attempt to solve: Simplifying 3 + -2x2 = 0 Solving 3 + -2x2 = 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 + -2x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x2 = 0 + -3 -2x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -2x2 = -3 Divide each side by '-2'. x2 = 1.5 Simplifying x2 = 1.5 Take the square root of each side: x = {-1.224744871, 1.224744871}Solution
x = {-1.224744871, 1.224744871}
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