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Simplifying 7x4 = -28x2 + -21 Reorder the terms: 7x4 = -21 + -28x2 Solving 7x4 = -21 + -28x2 Solving for variable 'x'. Reorder the terms: 21 + 28x2 + 7x4 = -21 + -28x2 + 21 + 28x2 Reorder the terms: 21 + 28x2 + 7x4 = -21 + 21 + -28x2 + 28x2 Combine like terms: -21 + 21 = 0 21 + 28x2 + 7x4 = 0 + -28x2 + 28x2 21 + 28x2 + 7x4 = -28x2 + 28x2 Combine like terms: -28x2 + 28x2 = 0 21 + 28x2 + 7x4 = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(3 + 4x2 + x4) = 0 Factor a trinomial. 7((3 + x2)(1 + x2)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(3 + x2)' equal to zero and attempt to solve: Simplifying 3 + x2 = 0 Solving 3 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x2 = 0 + -3 x2 = 0 + -3 Combine like terms: 0 + -3 = -3 x2 = -3 Simplifying x2 = -3 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 '(1 + x2)' equal to zero and attempt to solve: Simplifying 1 + x2 = 0 Solving 1 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x2 = 0 + -1 x2 = 0 + -1 Combine like terms: 0 + -1 = -1 x2 = -1 Simplifying x2 = -1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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