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Simplifying 744 + -110x + 4x2 = 450 Solving 744 + -110x + 4x2 = 450 Solving for variable 'x'. Reorder the terms: 744 + -450 + -110x + 4x2 = 450 + -450 Combine like terms: 744 + -450 = 294 294 + -110x + 4x2 = 450 + -450 Combine like terms: 450 + -450 = 0 294 + -110x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(147 + -55x + 2x2) = 0 Factor a trinomial. 2((3 + -1x)(49 + -2x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Subproblem 2
Set the factor '(49 + -2x)' equal to zero and attempt to solve: Simplifying 49 + -2x = 0 Solving 49 + -2x = 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 + -2x = 0 + -49 Combine like terms: 49 + -49 = 0 0 + -2x = 0 + -49 -2x = 0 + -49 Combine like terms: 0 + -49 = -49 -2x = -49 Divide each side by '-2'. x = 24.5 Simplifying x = 24.5Solution
x = {3, 24.5}
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