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Simplifying (10x2) = (15x4) Solving (10x2) = (15x4) Solving for variable 'x'. 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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