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Simplifying 5x2 + 53x + 30 = 30 Reorder the terms: 30 + 53x + 5x2 = 30 Add '-30' to each side of the equation. 30 + 53x + -30 + 5x2 = 30 + -30 Reorder the terms: 30 + -30 + 53x + 5x2 = 30 + -30 Combine like terms: 30 + -30 = 0 0 + 53x + 5x2 = 30 + -30 53x + 5x2 = 30 + -30 Combine like terms: 30 + -30 = 0 53x + 5x2 = 0 Solving 53x + 5x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(53 + 5x) = 0Subproblem 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 '(53 + 5x)' equal to zero and attempt to solve: Simplifying 53 + 5x = 0 Solving 53 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-53' to each side of the equation. 53 + -53 + 5x = 0 + -53 Combine like terms: 53 + -53 = 0 0 + 5x = 0 + -53 5x = 0 + -53 Combine like terms: 0 + -53 = -53 5x = -53 Divide each side by '5'. x = -10.6 Simplifying x = -10.6Solution
x = {0, -10.6}
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