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Simplifying 10x4 + -31x2 + 15 = 0 Reorder the terms: 15 + -31x2 + 10x4 = 0 Solving 15 + -31x2 + 10x4 = 0 Solving for variable 'x'. Factor a trinomial. (3 + -5x2)(5 + -2x2) = 0Subproblem 1
Set the factor '(3 + -5x2)' equal to zero and attempt to solve: Simplifying 3 + -5x2 = 0 Solving 3 + -5x2 = 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 + -5x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x2 = 0 + -3 -5x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -5x2 = -3 Divide each side by '-5'. x2 = 0.6 Simplifying x2 = 0.6 Take the square root of each side: x = {-0.774596669, 0.774596669}Subproblem 2
Set the factor '(5 + -2x2)' equal to zero and attempt to solve: Simplifying 5 + -2x2 = 0 Solving 5 + -2x2 = 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 + -2x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x2 = 0 + -5 -2x2 = 0 + -5 Combine like terms: 0 + -5 = -5 -2x2 = -5 Divide each side by '-2'. x2 = 2.5 Simplifying x2 = 2.5 Take the square root of each side: x = {-1.58113883, 1.58113883}Solution
x = {-0.774596669, 0.774596669, -1.58113883, 1.58113883}
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