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Simplifying 3x4 = 132x2 Solving 3x4 = 132x2 Solving for variable 'x'. Reorder the terms: -132x2 + 3x4 = 132x2 + -132x2 Combine like terms: 132x2 + -132x2 = 0 -132x2 + 3x4 = 0 Factor out the Greatest Common Factor (GCF), '3x2'. 3x2(-44 + x2) = 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 '(-44 + x2)' equal to zero and attempt to solve: Simplifying -44 + x2 = 0 Solving -44 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '44' to each side of the equation. -44 + 44 + x2 = 0 + 44 Combine like terms: -44 + 44 = 0 0 + x2 = 0 + 44 x2 = 0 + 44 Combine like terms: 0 + 44 = 44 x2 = 44 Simplifying x2 = 44 Take the square root of each side: x = {-6.633249581, 6.633249581}Solution
x = {0, -6.633249581, 6.633249581}
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