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Simplifying x4 + -3x2 = 28 Reorder the terms: -3x2 + x4 = 28 Solving -3x2 + x4 = 28 Solving for variable 'x'. Reorder the terms: -28 + -3x2 + x4 = 28 + -28 Combine like terms: 28 + -28 = 0 -28 + -3x2 + x4 = 0 Factor a trinomial. (-4 + -1x2)(7 + -1x2) = 0Subproblem 1
Set the factor '(-4 + -1x2)' equal to zero and attempt to solve: Simplifying -4 + -1x2 = 0 Solving -4 + -1x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1x2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x2 = 0 + 4 -1x2 = 0 + 4 Combine like terms: 0 + 4 = 4 -1x2 = 4 Divide each side by '-1'. x2 = -4 Simplifying x2 = -4 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 + -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}
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