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Simplifying (x)(x + 3) = 700 Reorder the terms: x(3 + x) = 700 (3 * x + x * x) = 700 (3x + x2) = 700 Solving 3x + x2 = 700 Solving for variable 'x'. Reorder the terms: -700 + 3x + x2 = 700 + -700 Combine like terms: 700 + -700 = 0 -700 + 3x + x2 = 0 Factor a trinomial. (-28 + -1x)(25 + -1x) = 0Subproblem 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 '(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 = 25Solution
x = {-28, 25}
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