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Simplifying 15x4 + -46x2 + 35 = 0 Reorder the terms: 35 + -46x2 + 15x4 = 0 Solving 35 + -46x2 + 15x4 = 0 Solving for variable 'x'. Factor a trinomial. (7 + -5x2)(5 + -3x2) = 0Subproblem 1
Set the factor '(7 + -5x2)' equal to zero and attempt to solve: Simplifying 7 + -5x2 = 0 Solving 7 + -5x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -5x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5x2 = 0 + -7 -5x2 = 0 + -7 Combine like terms: 0 + -7 = -7 -5x2 = -7 Divide each side by '-5'. x2 = 1.4 Simplifying x2 = 1.4 Take the square root of each side: x = {-1.183215957, 1.183215957}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 Take the square root of each side: x = {-1.290994449, 1.290994449}Solution
x = {-1.183215957, 1.183215957, -1.290994449, 1.290994449}
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