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Simplifying 6x4 + -15x2 = 0 Reorder the terms: -15x2 + 6x4 = 0 Solving -15x2 + 6x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x2'. 3x2(-5 + 2x2) = 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 '(-5 + 2x2)' equal to zero and attempt to solve: Simplifying -5 + 2x2 = 0 Solving -5 + 2x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 2x2 = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 2x2 = 0 + 5 2x2 = 0 + 5 Combine like terms: 0 + 5 = 5 2x2 = 5 Divide each side by '2'. x2 = 2.5 Simplifying x2 = 2.5 Take the square root of each side: x = {-1.58113883, 1.58113883}Solution
x = {0, -1.58113883, 1.58113883}
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