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Simplifying 15000 = 4x2 + 380x + -6600 Reorder the terms: 15000 = -6600 + 380x + 4x2 Solving 15000 = -6600 + 380x + 4x2 Solving for variable 'x'. Combine like terms: 15000 + 6600 = 21600 21600 + -380x + -4x2 = -6600 + 380x + 4x2 + 6600 + -380x + -4x2 Reorder the terms: 21600 + -380x + -4x2 = -6600 + 6600 + 380x + -380x + 4x2 + -4x2 Combine like terms: -6600 + 6600 = 0 21600 + -380x + -4x2 = 0 + 380x + -380x + 4x2 + -4x2 21600 + -380x + -4x2 = 380x + -380x + 4x2 + -4x2 Combine like terms: 380x + -380x = 0 21600 + -380x + -4x2 = 0 + 4x2 + -4x2 21600 + -380x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 21600 + -380x + -4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(5400 + -95x + -1x2) = 0 Factor a trinomial. 4((40 + -1x)(135 + x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(40 + -1x)' equal to zero and attempt to solve: Simplifying 40 + -1x = 0 Solving 40 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1x = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1x = 0 + -40 -1x = 0 + -40 Combine like terms: 0 + -40 = -40 -1x = -40 Divide each side by '-1'. x = 40 Simplifying x = 40Subproblem 2
Set the factor '(135 + x)' equal to zero and attempt to solve: Simplifying 135 + x = 0 Solving 135 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-135' to each side of the equation. 135 + -135 + x = 0 + -135 Combine like terms: 135 + -135 = 0 0 + x = 0 + -135 x = 0 + -135 Combine like terms: 0 + -135 = -135 x = -135 Simplifying x = -135Solution
x = {40, -135}
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