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Simplifying 5x4 + -17x2 + 14 = 0 Reorder the terms: 14 + -17x2 + 5x4 = 0 Solving 14 + -17x2 + 5x4 = 0 Solving for variable 'x'. Factor a trinomial. (7 + -5x2)(2 + -1x2) = 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 '(2 + -1x2)' equal to zero and attempt to solve: Simplifying 2 + -1x2 = 0 Solving 2 + -1x2 = 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 + -1x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x2 = 0 + -2 -1x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1x2 = -2 Divide each side by '-1'. x2 = 2 Simplifying x2 = 2 Take the square root of each side: x = {-1.414213562, 1.414213562}Solution
x = {-1.183215957, 1.183215957, -1.414213562, 1.414213562}
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