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Simplifying 225 + 255 = X2 + 14X Combine like terms: 225 + 255 = 480 480 = X2 + 14X Reorder the terms: 480 = 14X + X2 Solving 480 = 14X + X2 Solving for variable 'X'. Reorder the terms: 480 + -14X + -1X2 = 14X + -14X + X2 + -1X2 Combine like terms: 14X + -14X = 0 480 + -14X + -1X2 = 0 + X2 + -1X2 480 + -14X + -1X2 = X2 + -1X2 Combine like terms: X2 + -1X2 = 0 480 + -14X + -1X2 = 0 Factor a trinomial. (16 + -1X)(30 + X) = 0Subproblem 1
Set the factor '(16 + -1X)' equal to zero and attempt to solve: Simplifying 16 + -1X = 0 Solving 16 + -1X = 0 Move all terms containing X to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1X = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1X = 0 + -16 -1X = 0 + -16 Combine like terms: 0 + -16 = -16 -1X = -16 Divide each side by '-1'. X = 16 Simplifying X = 16Subproblem 2
Set the factor '(30 + X)' equal to zero and attempt to solve: Simplifying 30 + X = 0 Solving 30 + X = 0 Move all terms containing X to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + X = 0 + -30 Combine like terms: 30 + -30 = 0 0 + X = 0 + -30 X = 0 + -30 Combine like terms: 0 + -30 = -30 X = -30 Simplifying X = -30Solution
X = {16, -30}
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