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Simplifying 10x2 = 21 + -37x Solving 10x2 = 21 + -37x Solving for variable 'x'. Reorder the terms: -21 + 37x + 10x2 = 21 + -37x + -21 + 37x Reorder the terms: -21 + 37x + 10x2 = 21 + -21 + -37x + 37x Combine like terms: 21 + -21 = 0 -21 + 37x + 10x2 = 0 + -37x + 37x -21 + 37x + 10x2 = -37x + 37x Combine like terms: -37x + 37x = 0 -21 + 37x + 10x2 = 0 Factor a trinomial. (-21 + -5x)(1 + -2x) = 0Subproblem 1
Set the factor '(-21 + -5x)' equal to zero and attempt to solve: Simplifying -21 + -5x = 0 Solving -21 + -5x = 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 + -5x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -5x = 0 + 21 -5x = 0 + 21 Combine like terms: 0 + 21 = 21 -5x = 21 Divide each side by '-5'. x = -4.2 Simplifying x = -4.2Subproblem 2
Set the factor '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Solution
x = {-4.2, 0.5}
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