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Simplifying 4x(67 * 3x) = 45x Multiply 67 * 3 4x(201x) = 45x Remove parenthesis around (201x) 4x * 201x = 45x Reorder the terms for easier multiplication: 4 * 201x * x = 45x Multiply 4 * 201 804x * x = 45x Multiply x * x 804x2 = 45x Solving 804x2 = 45x Solving for variable 'x'. Reorder the terms: -45x + 804x2 = 45x + -45x Combine like terms: 45x + -45x = 0 -45x + 804x2 = 0 Factor out the Greatest Common Factor (GCF), '3x'. 3x(-15 + 268x) = 0 Ignore the factor 3.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 '(-15 + 268x)' equal to zero and attempt to solve: Simplifying -15 + 268x = 0 Solving -15 + 268x = 0 Move all terms containing x to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + 268x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 268x = 0 + 15 268x = 0 + 15 Combine like terms: 0 + 15 = 15 268x = 15 Divide each side by '268'. x = 0.05597014925 Simplifying x = 0.05597014925Solution
x = {0, 0.05597014925}
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