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Simplifying 3x4 + -33x4 + 21x2 = 0 Reorder the terms: 21x2 + 3x4 + -33x4 = 0 Combine like terms: 3x4 + -33x4 = -30x4 21x2 + -30x4 = 0 Solving 21x2 + -30x4 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3x2'. 3x2(7 + -10x2) = 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 '(7 + -10x2)' equal to zero and attempt to solve: Simplifying 7 + -10x2 = 0 Solving 7 + -10x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -10x2 = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -10x2 = 0 + -7 -10x2 = 0 + -7 Combine like terms: 0 + -7 = -7 -10x2 = -7 Divide each side by '-10'. x2 = 0.7 Simplifying x2 = 0.7 Take the square root of each side: x = {-0.836660027, 0.836660027}Solution
x = {0, -0.836660027, 0.836660027}
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