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Simplifying 14x4 + -45x2 + -14 = 0 Reorder the terms: -14 + -45x2 + 14x4 = 0 Solving -14 + -45x2 + 14x4 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -7x2)(7 + -2x2) = 0Subproblem 1
Set the factor '(-2 + -7x2)' equal to zero and attempt to solve: Simplifying -2 + -7x2 = 0 Solving -2 + -7x2 = 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 + -7x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -7x2 = 0 + 2 -7x2 = 0 + 2 Combine like terms: 0 + 2 = 2 -7x2 = 2 Divide each side by '-7'. x2 = -0.2857142857 Simplifying x2 = -0.2857142857 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(7 + -2x2)' equal to zero and attempt to solve: Simplifying 7 + -2x2 = 0 Solving 7 + -2x2 = 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 + -2x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2x2 = 0 + -7 -2x2 = 0 + -7 Combine like terms: 0 + -7 = -7 -2x2 = -7 Divide each side by '-2'. x2 = 3.5 Simplifying x2 = 3.5 Take the square root of each side: x = {-1.870828693, 1.870828693}Solution
x = {-1.870828693, 1.870828693}
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