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Simplifying 450 + (2x2) + 15x = 115x Reorder the terms: 450 + 15x + (2x2) = 115x Solving 450 + 15x + (2x2) = 115x Solving for variable 'x'. Reorder the terms: 450 + 15x + -115x + (2x2) = 115x + -115x Combine like terms: 15x + -115x = -100x 450 + -100x + (2x2) = 115x + -115x Combine like terms: 115x + -115x = 0 450 + -100x + (2x2) = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(225 + -50x + x2) = 0 Factor a trinomial. 2((5 + -1x)(45 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve: Simplifying 5 + -1x = 0 Solving 5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1x = 0 + -5 -1x = 0 + -5 Combine like terms: 0 + -5 = -5 -1x = -5 Divide each side by '-1'. x = 5 Simplifying x = 5Subproblem 2
Set the factor '(45 + -1x)' equal to zero and attempt to solve: Simplifying 45 + -1x = 0 Solving 45 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + -1x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -1x = 0 + -45 -1x = 0 + -45 Combine like terms: 0 + -45 = -45 -1x = -45 Divide each side by '-1'. x = 45 Simplifying x = 45Solution
x = {5, 45}
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