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Simplifying 0 = 10x2 + 21x + -10 Reorder the terms: 0 = -10 + 21x + 10x2 Solving 0 = -10 + 21x + 10x2 Solving for variable 'x'. Combine like terms: 0 + 10 = 10 10 + -21x + -10x2 = -10 + 21x + 10x2 + 10 + -21x + -10x2 Reorder the terms: 10 + -21x + -10x2 = -10 + 10 + 21x + -21x + 10x2 + -10x2 Combine like terms: -10 + 10 = 0 10 + -21x + -10x2 = 0 + 21x + -21x + 10x2 + -10x2 10 + -21x + -10x2 = 21x + -21x + 10x2 + -10x2 Combine like terms: 21x + -21x = 0 10 + -21x + -10x2 = 0 + 10x2 + -10x2 10 + -21x + -10x2 = 10x2 + -10x2 Combine like terms: 10x2 + -10x2 = 0 10 + -21x + -10x2 = 0 Factor a trinomial. (2 + -5x)(5 + 2x) = 0Subproblem 1
Set the factor '(2 + -5x)' equal to zero and attempt to solve: Simplifying 2 + -5x = 0 Solving 2 + -5x = 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 + -5x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5x = 0 + -2 -5x = 0 + -2 Combine like terms: 0 + -2 = -2 -5x = -2 Divide each side by '-5'. x = 0.4 Simplifying x = 0.4Subproblem 2
Set the factor '(5 + 2x)' equal to zero and attempt to solve: Simplifying 5 + 2x = 0 Solving 5 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Divide each side by '2'. x = -2.5 Simplifying x = -2.5Solution
x = {0.4, -2.5}
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