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Simplifying 4x2 + 12x = 9400 Reorder the terms: 12x + 4x2 = 9400 Solving 12x + 4x2 = 9400 Solving for variable 'x'. Reorder the terms: -9400 + 12x + 4x2 = 9400 + -9400 Combine like terms: 9400 + -9400 = 0 -9400 + 12x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-2350 + 3x + x2) = 0 Factor a trinomial. 4((-50 + -1x)(47 + -1x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-50 + -1x)' equal to zero and attempt to solve: Simplifying -50 + -1x = 0 Solving -50 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + -1x = 0 + 50 Combine like terms: -50 + 50 = 0 0 + -1x = 0 + 50 -1x = 0 + 50 Combine like terms: 0 + 50 = 50 -1x = 50 Divide each side by '-1'. x = -50 Simplifying x = -50Subproblem 2
Set the factor '(47 + -1x)' equal to zero and attempt to solve: Simplifying 47 + -1x = 0 Solving 47 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-47' to each side of the equation. 47 + -47 + -1x = 0 + -47 Combine like terms: 47 + -47 = 0 0 + -1x = 0 + -47 -1x = 0 + -47 Combine like terms: 0 + -47 = -47 -1x = -47 Divide each side by '-1'. x = 47 Simplifying x = 47Solution
x = {-50, 47}
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