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Simplifying 15x2 + 48x4 + 30x2 = 0 Reorder the terms: 15x2 + 30x2 + 48x4 = 0 Combine like terms: 15x2 + 30x2 = 45x2 45x2 + 48x4 = 0 Solving 45x2 + 48x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x2'. 3x2(15 + 16x2) = 0 Ignore the factor 3.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 '(15 + 16x2)' equal to zero and attempt to solve: Simplifying 15 + 16x2 = 0 Solving 15 + 16x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 16x2 = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 16x2 = 0 + -15 16x2 = 0 + -15 Combine like terms: 0 + -15 = -15 16x2 = -15 Divide each side by '16'. x2 = -0.9375 Simplifying x2 = -0.9375 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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