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Simplifying (75x + 2600) + -1(225x + -1x2) = 0 Reorder the terms: (2600 + 75x) + -1(225x + -1x2) = 0 Remove parenthesis around (2600 + 75x) 2600 + 75x + -1(225x + -1x2) = 0 2600 + 75x + (225x * -1 + -1x2 * -1) = 0 2600 + 75x + (-225x + 1x2) = 0 Combine like terms: 75x + -225x = -150x 2600 + -150x + 1x2 = 0 Solving 2600 + -150x + 1x2 = 0 Solving for variable 'x'. Factor a trinomial. (20 + -1x)(130 + -1x) = 0Subproblem 1
Set the factor '(20 + -1x)' equal to zero and attempt to solve: Simplifying 20 + -1x = 0 Solving 20 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1x = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x = 0 + -20 -1x = 0 + -20 Combine like terms: 0 + -20 = -20 -1x = -20 Divide each side by '-1'. x = 20 Simplifying x = 20Subproblem 2
Set the factor '(130 + -1x)' equal to zero and attempt to solve: Simplifying 130 + -1x = 0 Solving 130 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-130' to each side of the equation. 130 + -130 + -1x = 0 + -130 Combine like terms: 130 + -130 = 0 0 + -1x = 0 + -130 -1x = 0 + -130 Combine like terms: 0 + -130 = -130 -1x = -130 Divide each side by '-1'. x = 130 Simplifying x = 130Solution
x = {20, 130}
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