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Simplifying 5x4 + -3x2 + 15x2 + 0 = 0 Reorder the terms: 0 + -3x2 + 15x2 + 5x4 = 0 Remove the zero: -3x2 + 15x2 + 5x4 = 0 Combine like terms: -3x2 + 15x2 = 12x2 12x2 + 5x4 = 0 Solving 12x2 + 5x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x2'. x2(12 + 5x2) = 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 '(12 + 5x2)' equal to zero and attempt to solve: Simplifying 12 + 5x2 = 0 Solving 12 + 5x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 5x2 = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 5x2 = 0 + -12 5x2 = 0 + -12 Combine like terms: 0 + -12 = -12 5x2 = -12 Divide each side by '5'. x2 = -2.4 Simplifying x2 = -2.4 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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