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Simplifying 0 = (2x + -208)(5x + -15) Reorder the terms: 0 = (-208 + 2x)(5x + -15) Reorder the terms: 0 = (-208 + 2x)(-15 + 5x) Multiply (-208 + 2x) * (-15 + 5x) 0 = (-208(-15 + 5x) + 2x * (-15 + 5x)) 0 = ((-15 * -208 + 5x * -208) + 2x * (-15 + 5x)) 0 = ((3120 + -1040x) + 2x * (-15 + 5x)) 0 = (3120 + -1040x + (-15 * 2x + 5x * 2x)) 0 = (3120 + -1040x + (-30x + 10x2)) Combine like terms: -1040x + -30x = -1070x 0 = (3120 + -1070x + 10x2) Solving 0 = 3120 + -1070x + 10x2 Solving for variable 'x'. Combine like terms: 0 + -3120 = -3120 -3120 + 1070x + -10x2 = 3120 + -1070x + 10x2 + -3120 + 1070x + -10x2 Reorder the terms: -3120 + 1070x + -10x2 = 3120 + -3120 + -1070x + 1070x + 10x2 + -10x2 Combine like terms: 3120 + -3120 = 0 -3120 + 1070x + -10x2 = 0 + -1070x + 1070x + 10x2 + -10x2 -3120 + 1070x + -10x2 = -1070x + 1070x + 10x2 + -10x2 Combine like terms: -1070x + 1070x = 0 -3120 + 1070x + -10x2 = 0 + 10x2 + -10x2 -3120 + 1070x + -10x2 = 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 -3120 + 1070x + -10x2 = 0 Factor out the Greatest Common Factor (GCF), '10'. 10(-312 + 107x + -1x2) = 0 Factor a trinomial. 10((-104 + x)(3 + -1x)) = 0 Ignore the factor 10.Subproblem 1
Set the factor '(-104 + x)' equal to zero and attempt to solve: Simplifying -104 + x = 0 Solving -104 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '104' to each side of the equation. -104 + 104 + x = 0 + 104 Combine like terms: -104 + 104 = 0 0 + x = 0 + 104 x = 0 + 104 Combine like terms: 0 + 104 = 104 x = 104 Simplifying x = 104Subproblem 2
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 = 3Solution
x = {104, 3}
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