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Simplifying x4 + 7x2 + 12x2 = 0 Reorder the terms: 7x2 + 12x2 + x4 = 0 Combine like terms: 7x2 + 12x2 = 19x2 19x2 + x4 = 0 Solving 19x2 + x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(19 + x2) = 0Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(19 + x2)' equal to zero and attempt to solve: Simplifying 19 + x2 = 0 Solving 19 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -19 + x2 = 0 + -19 Combine like terms: 19 + -19 = 0 0 + x2 = 0 + -19 x2 = 0 + -19 Combine like terms: 0 + -19 = -19 x2 = -19 Simplifying x2 = -19 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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