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Simplifying 3600 = 10x2 + -94x + -300 Reorder the terms: 3600 = -300 + -94x + 10x2 Solving 3600 = -300 + -94x + 10x2 Solving for variable 'x'. Combine like terms: 3600 + 300 = 3900 3900 + 94x + -10x2 = -300 + -94x + 10x2 + 300 + 94x + -10x2 Reorder the terms: 3900 + 94x + -10x2 = -300 + 300 + -94x + 94x + 10x2 + -10x2 Combine like terms: -300 + 300 = 0 3900 + 94x + -10x2 = 0 + -94x + 94x + 10x2 + -10x2 3900 + 94x + -10x2 = -94x + 94x + 10x2 + -10x2 Combine like terms: -94x + 94x = 0 3900 + 94x + -10x2 = 0 + 10x2 + -10x2 3900 + 94x + -10x2 = 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 3900 + 94x + -10x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(1950 + 47x + -5x2) = 0 Factor a trinomial. 2((25 + -1x)(78 + 5x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(25 + -1x)' equal to zero and attempt to solve: Simplifying 25 + -1x = 0 Solving 25 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-25' to each side of the equation. 25 + -25 + -1x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -1x = 0 + -25 -1x = 0 + -25 Combine like terms: 0 + -25 = -25 -1x = -25 Divide each side by '-1'. x = 25 Simplifying x = 25Subproblem 2
Set the factor '(78 + 5x)' equal to zero and attempt to solve: Simplifying 78 + 5x = 0 Solving 78 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-78' to each side of the equation. 78 + -78 + 5x = 0 + -78 Combine like terms: 78 + -78 = 0 0 + 5x = 0 + -78 5x = 0 + -78 Combine like terms: 0 + -78 = -78 5x = -78 Divide each side by '5'. x = -15.6 Simplifying x = -15.6Solution
x = {25, -15.6}
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