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Simplifying 4x2 + 34x * 60 = 0 Reorder the terms for easier multiplication: 4x2 + 34 * 60x = 0 Multiply 34 * 60 4x2 + 2040x = 0 Reorder the terms: 2040x + 4x2 = 0 Solving 2040x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '4x'. 4x(510 + x) = 0 Ignore the factor 4.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 '(510 + x)' equal to zero and attempt to solve: Simplifying 510 + x = 0 Solving 510 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-510' to each side of the equation. 510 + -510 + x = 0 + -510 Combine like terms: 510 + -510 = 0 0 + x = 0 + -510 x = 0 + -510 Combine like terms: 0 + -510 = -510 x = -510 Simplifying x = -510Solution
x = {0, -510}
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