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Simplifying 14x4 + -45x2 + 25 = 0 Reorder the terms: 25 + -45x2 + 14x4 = 0 Solving 25 + -45x2 + 14x4 = 0 Solving for variable 'x'. Factor a trinomial. (5 + -7x2)(5 + -2x2) = 0Subproblem 1
Set the factor '(5 + -7x2)' equal to zero and attempt to solve: Simplifying 5 + -7x2 = 0 Solving 5 + -7x2 = 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 + -7x2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -7x2 = 0 + -5 -7x2 = 0 + -5 Combine like terms: 0 + -5 = -5 -7x2 = -5 Divide each side by '-7'. x2 = 0.7142857143 Simplifying x2 = 0.7142857143 Take the square root of each side: x = {-0.845154255, 0.845154255}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 = {-0.845154255, 0.845154255, -1.58113883, 1.58113883}
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