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Simplifying x4 = 14x2 + -49 Reorder the terms: x4 = -49 + 14x2 Solving x4 = -49 + 14x2 Solving for variable 'x'. Reorder the terms: 49 + -14x2 + x4 = -49 + 14x2 + 49 + -14x2 Reorder the terms: 49 + -14x2 + x4 = -49 + 49 + 14x2 + -14x2 Combine like terms: -49 + 49 = 0 49 + -14x2 + x4 = 0 + 14x2 + -14x2 49 + -14x2 + x4 = 14x2 + -14x2 Combine like terms: 14x2 + -14x2 = 0 49 + -14x2 + x4 = 0 Factor a trinomial. (7 + -1x2)(7 + -1x2) = 0Subproblem 1
Set the factor '(7 + -1x2)' equal to zero and attempt to solve: Simplifying 7 + -1x2 = 0 Solving 7 + -1x2 = 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 + -1x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x2 = 0 + -7 -1x2 = 0 + -7 Combine like terms: 0 + -7 = -7 -1x2 = -7 Divide each side by '-1'. x2 = 7 Simplifying x2 = 7 Take the square root of each side: x = {-2.645751311, 2.645751311}Subproblem 2
Set the factor '(7 + -1x2)' equal to zero and attempt to solve: Simplifying 7 + -1x2 = 0 Solving 7 + -1x2 = 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 + -1x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x2 = 0 + -7 -1x2 = 0 + -7 Combine like terms: 0 + -7 = -7 -1x2 = -7 Divide each side by '-1'. x2 = 7 Simplifying x2 = 7 Take the square root of each side: x = {-2.645751311, 2.645751311}Solution
x = {-2.645751311, 2.645751311, -2.645751311, 2.645751311}
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