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Simplifying 3x4 + 15x2 = 72 Reorder the terms: 15x2 + 3x4 = 72 Solving 15x2 + 3x4 = 72 Solving for variable 'x'. Reorder the terms: -72 + 15x2 + 3x4 = 72 + -72 Combine like terms: 72 + -72 = 0 -72 + 15x2 + 3x4 = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-24 + 5x2 + x4) = 0 Factor a trinomial. 3((-8 + -1x2)(3 + -1x2)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-8 + -1x2)' equal to zero and attempt to solve: Simplifying -8 + -1x2 = 0 Solving -8 + -1x2 = 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 + -1x2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1x2 = 0 + 8 -1x2 = 0 + 8 Combine like terms: 0 + 8 = 8 -1x2 = 8 Divide each side by '-1'. x2 = -8 Simplifying x2 = -8 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 + -1x2)' equal to zero and attempt to solve: Simplifying 3 + -1x2 = 0 Solving 3 + -1x2 = 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 + -1x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x2 = 0 + -3 -1x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -1x2 = -3 Divide each side by '-1'. x2 = 3 Simplifying x2 = 3 Take the square root of each side: x = {-1.732050808, 1.732050808}Solution
x = {-1.732050808, 1.732050808}
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