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Simplifying 0 = x2 + -19x + -290 Reorder the terms: 0 = -290 + -19x + x2 Solving 0 = -290 + -19x + x2 Solving for variable 'x'. Combine like terms: 0 + 290 = 290 290 + 19x + -1x2 = -290 + -19x + x2 + 290 + 19x + -1x2 Reorder the terms: 290 + 19x + -1x2 = -290 + 290 + -19x + 19x + x2 + -1x2 Combine like terms: -290 + 290 = 0 290 + 19x + -1x2 = 0 + -19x + 19x + x2 + -1x2 290 + 19x + -1x2 = -19x + 19x + x2 + -1x2 Combine like terms: -19x + 19x = 0 290 + 19x + -1x2 = 0 + x2 + -1x2 290 + 19x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 290 + 19x + -1x2 = 0 Factor a trinomial. (29 + -1x)(10 + x) = 0Subproblem 1
Set the factor '(29 + -1x)' equal to zero and attempt to solve: Simplifying 29 + -1x = 0 Solving 29 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -1x = 0 + -29 Combine like terms: 29 + -29 = 0 0 + -1x = 0 + -29 -1x = 0 + -29 Combine like terms: 0 + -29 = -29 -1x = -29 Divide each side by '-1'. x = 29 Simplifying x = 29Subproblem 2
Set the factor '(10 + x)' equal to zero and attempt to solve: Simplifying 10 + x = 0 Solving 10 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + x = 0 + -10 x = 0 + -10 Combine like terms: 0 + -10 = -10 x = -10 Simplifying x = -10Solution
x = {29, -10}
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