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Simplifying 10x2 + -1x + -42 = 0 Reorder the terms: -42 + -1x + 10x2 = 0 Solving -42 + -1x + 10x2 = 0 Solving for variable 'x'. Factor a trinomial. (-2 + -1x)(21 + -10x) = 0Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 2
Set the factor '(21 + -10x)' equal to zero and attempt to solve: Simplifying 21 + -10x = 0 Solving 21 + -10x = 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 + -10x = 0 + -21 Combine like terms: 21 + -21 = 0 0 + -10x = 0 + -21 -10x = 0 + -21 Combine like terms: 0 + -21 = -21 -10x = -21 Divide each side by '-10'. x = 2.1 Simplifying x = 2.1Solution
x = {-2, 2.1}
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