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Simplifying 3x4 = 18x2 Solving 3x4 = 18x2 Solving for variable 'x'. Reorder the terms: -18x2 + 3x4 = 18x2 + -18x2 Combine like terms: 18x2 + -18x2 = 0 -18x2 + 3x4 = 0 Factor out the Greatest Common Factor (GCF), '3x2'. 3x2(-6 + 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 '(-6 + x2)' equal to zero and attempt to solve: Simplifying -6 + x2 = 0 Solving -6 + x2 = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + x2 = 0 + 6 Combine like terms: -6 + 6 = 0 0 + x2 = 0 + 6 x2 = 0 + 6 Combine like terms: 0 + 6 = 6 x2 = 6 Simplifying x2 = 6 Take the square root of each side: x = {-2.449489743, 2.449489743}Solution
x = {0, -2.449489743, 2.449489743}
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