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Simplifying (18x)(18x) + 42x = 0 Remove parenthesis around (18x) 18x(18x) + 42x = 0 Remove parenthesis around (18x) 18x * 18x + 42x = 0 Reorder the terms for easier multiplication: 18 * 18x * x + 42x = 0 Multiply 18 * 18 324x * x + 42x = 0 Multiply x * x 324x2 + 42x = 0 Reorder the terms: 42x + 324x2 = 0 Solving 42x + 324x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6x'. 6x(7 + 54x) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(7 + 54x)' equal to zero and attempt to solve: Simplifying 7 + 54x = 0 Solving 7 + 54x = 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 + 54x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 54x = 0 + -7 54x = 0 + -7 Combine like terms: 0 + -7 = -7 54x = -7 Divide each side by '54'. x = -0.1296296296 Simplifying x = -0.1296296296Solution
x = {0, -0.1296296296}
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