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Simplifying 9x4 + -30x2 = 0 Reorder the terms: -30x2 + 9x4 = 0 Solving -30x2 + 9x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x2'. 3x2(-10 + 3x2) = 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 '(-10 + 3x2)' equal to zero and attempt to solve: Simplifying -10 + 3x2 = 0 Solving -10 + 3x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 3x2 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 3x2 = 0 + 10 3x2 = 0 + 10 Combine like terms: 0 + 10 = 10 3x2 = 10 Divide each side by '3'. x2 = 3.333333333 Simplifying x2 = 3.333333333 Take the square root of each side: x = {-1.825741858, 1.825741858}Solution
x = {0, -1.825741858, 1.825741858}
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