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Simplifying x2 + 49x + 600.25 = 0 + 600.25 Reorder the terms: 600.25 + 49x + x2 = 0 + 600.25 Combine like terms: 0 + 600.25 = 600.25 600.25 + 49x + x2 = 600.25 Add '-600.25' to each side of the equation. 600.25 + 49x + -600.25 + x2 = 600.25 + -600.25 Reorder the terms: 600.25 + -600.25 + 49x + x2 = 600.25 + -600.25 Combine like terms: 600.25 + -600.25 = 0.00 0.00 + 49x + x2 = 600.25 + -600.25 49x + x2 = 600.25 + -600.25 Combine like terms: 600.25 + -600.25 = 0.00 49x + x2 = 0.00 Solving 49x + x2 = 0.00 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(49 + x) = 0.00Subproblem 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 '(49 + x)' equal to zero and attempt to solve: Simplifying 49 + x = 0 Solving 49 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + x = 0 + -49 Combine like terms: 49 + -49 = 0 0 + x = 0 + -49 x = 0 + -49 Combine like terms: 0 + -49 = -49 x = -49 Simplifying x = -49Solution
x = {0, -49}
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