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Simplifying -14 = x4 + -9x2 Reorder the terms: -14 = -9x2 + x4 Solving -14 = -9x2 + x4 Solving for variable 'x'. Reorder the terms: -14 + 9x2 + -1x4 = -9x2 + 9x2 + x4 + -1x4 Combine like terms: -9x2 + 9x2 = 0 -14 + 9x2 + -1x4 = 0 + x4 + -1x4 -14 + 9x2 + -1x4 = x4 + -1x4 Combine like terms: x4 + -1x4 = 0 -14 + 9x2 + -1x4 = 0 Factor a trinomial. (-7 + x2)(2 + -1x2) = 0Subproblem 1
Set the factor '(-7 + x2)' equal to zero and attempt to solve: Simplifying -7 + x2 = 0 Solving -7 + x2 = 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 + x2 = 0 + 7 Combine like terms: -7 + 7 = 0 0 + x2 = 0 + 7 x2 = 0 + 7 Combine like terms: 0 + 7 = 7 x2 = 7 Simplifying x2 = 7 Take the square root of each side: x = {-2.645751311, 2.645751311}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 = {-2.645751311, 2.645751311, -1.414213562, 1.414213562}
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