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Simplifying 0 = 5x4 + 3x2 Reorder the terms: 0 = 3x2 + 5x4 Solving 0 = 3x2 + 5x4 Solving for variable 'x'. Remove the zero: -3x2 + -5x4 = 3x2 + 5x4 + -3x2 + -5x4 Reorder the terms: -3x2 + -5x4 = 3x2 + -3x2 + 5x4 + -5x4 Combine like terms: 3x2 + -3x2 = 0 -3x2 + -5x4 = 0 + 5x4 + -5x4 -3x2 + -5x4 = 5x4 + -5x4 Combine like terms: 5x4 + -5x4 = 0 -3x2 + -5x4 = 0 Factor out the Greatest Common Factor (GCF), '-1x2'. -1x2(3 + 5x2) = 0 Ignore the factor -1.Subproblem 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 '(3 + 5x2)' equal to zero and attempt to solve: Simplifying 3 + 5x2 = 0 Solving 3 + 5x2 = 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 + 5x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5x2 = 0 + -3 5x2 = 0 + -3 Combine like terms: 0 + -3 = -3 5x2 = -3 Divide each side by '5'. x2 = -0.6 Simplifying x2 = -0.6 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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