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Simplifying 1225 = 2(x2) + -14x + 49 Reorder the terms: 1225 = 49 + -14x + 2x2 Solving 1225 = 49 + -14x + 2x2 Solving for variable 'x'. Combine like terms: 1225 + -49 = 1176 1176 + 14x + -2x2 = 49 + -14x + 2x2 + -49 + 14x + -2x2 Reorder the terms: 1176 + 14x + -2x2 = 49 + -49 + -14x + 14x + 2x2 + -2x2 Combine like terms: 49 + -49 = 0 1176 + 14x + -2x2 = 0 + -14x + 14x + 2x2 + -2x2 1176 + 14x + -2x2 = -14x + 14x + 2x2 + -2x2 Combine like terms: -14x + 14x = 0 1176 + 14x + -2x2 = 0 + 2x2 + -2x2 1176 + 14x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 1176 + 14x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(588 + 7x + -1x2) = 0 Factor a trinomial. 2((28 + -1x)(21 + x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(28 + -1x)' equal to zero and attempt to solve: Simplifying 28 + -1x = 0 Solving 28 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -28 + -1x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + -1x = 0 + -28 -1x = 0 + -28 Combine like terms: 0 + -28 = -28 -1x = -28 Divide each side by '-1'. x = 28 Simplifying x = 28Subproblem 2
Set the factor '(21 + x)' equal to zero and attempt to solve: Simplifying 21 + x = 0 Solving 21 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-21' to each side of the equation. 21 + -21 + x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + x = 0 + -21 x = 0 + -21 Combine like terms: 0 + -21 = -21 x = -21 Simplifying x = -21Solution
x = {28, -21}
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