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Simplifying 15x4 + -16x2 + 4 = 0 Reorder the terms: 4 + -16x2 + 15x4 = 0 Solving 4 + -16x2 + 15x4 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -5x2)(2 + -3x2) = 0Subproblem 1
Set the factor '(2 + -5x2)' equal to zero and attempt to solve: Simplifying 2 + -5x2 = 0 Solving 2 + -5x2 = 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 + -5x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x2 = 0 + -2 -5x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -5x2 = -2 Divide each side by '-5'. x2 = 0.4 Simplifying x2 = 0.4 Take the square root of each side: x = {-0.632455532, 0.632455532}Subproblem 2
Set the factor '(2 + -3x2)' equal to zero and attempt to solve: Simplifying 2 + -3x2 = 0 Solving 2 + -3x2 = 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 + -3x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x2 = 0 + -2 -3x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -3x2 = -2 Divide each side by '-3'. x2 = 0.6666666667 Simplifying x2 = 0.6666666667 Take the square root of each side: x = {-0.816496581, 0.816496581}Solution
x = {-0.632455532, 0.632455532, -0.816496581, 0.816496581}
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