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Simplifying 0 = 15x4 + -10x2 Reorder the terms: 0 = -10x2 + 15x4 Solving 0 = -10x2 + 15x4 Solving for variable 'x'. Remove the zero: 10x2 + -15x4 = -10x2 + 15x4 + 10x2 + -15x4 Reorder the terms: 10x2 + -15x4 = -10x2 + 10x2 + 15x4 + -15x4 Combine like terms: -10x2 + 10x2 = 0 10x2 + -15x4 = 0 + 15x4 + -15x4 10x2 + -15x4 = 15x4 + -15x4 Combine like terms: 15x4 + -15x4 = 0 10x2 + -15x4 = 0 Factor out the Greatest Common Factor (GCF), '5x2'. 5x2(2 + -3x2) = 0 Ignore the factor 5.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 '(2 + -3x2)' equal to zero and attempt to solve: Simplifying 2 + -3x2 = 0 Solving 2 + -3x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3x2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3x2 = 0 + -2 -3x2 = 0 + -2 Combine like terms: 0 + -2 = -2 -3x2 = -2 Divide each side by '-3'. x2 = 0.6666666667 Simplifying x2 = 0.6666666667 Take the square root of each side: x = {-0.816496581, 0.816496581}Solution
x = {0, -0.816496581, 0.816496581}
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