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Simplifying 1425 = -1x2 + 110x Reorder the terms: 1425 = 110x + -1x2 Solving 1425 = 110x + -1x2 Solving for variable 'x'. Reorder the terms: 1425 + -110x + x2 = 110x + -110x + -1x2 + x2 Combine like terms: 110x + -110x = 0 1425 + -110x + x2 = 0 + -1x2 + x2 1425 + -110x + x2 = -1x2 + x2 Combine like terms: -1x2 + x2 = 0 1425 + -110x + x2 = 0 Factor a trinomial. (15 + -1x)(95 + -1x) = 0Subproblem 1
Set the factor '(15 + -1x)' equal to zero and attempt to solve: Simplifying 15 + -1x = 0 Solving 15 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1x = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1x = 0 + -15 -1x = 0 + -15 Combine like terms: 0 + -15 = -15 -1x = -15 Divide each side by '-1'. x = 15 Simplifying x = 15Subproblem 2
Set the factor '(95 + -1x)' equal to zero and attempt to solve: Simplifying 95 + -1x = 0 Solving 95 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-95' to each side of the equation. 95 + -95 + -1x = 0 + -95 Combine like terms: 95 + -95 = 0 0 + -1x = 0 + -95 -1x = 0 + -95 Combine like terms: 0 + -95 = -95 -1x = -95 Divide each side by '-1'. x = 95 Simplifying x = 95Solution
x = {15, 95}
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