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Simplifying 10x2 + 3x + 7 = 8 Reorder the terms: 7 + 3x + 10x2 = 8 Solving 7 + 3x + 10x2 = 8 Solving for variable 'x'. Reorder the terms: 7 + -8 + 3x + 10x2 = 8 + -8 Combine like terms: 7 + -8 = -1 -1 + 3x + 10x2 = 8 + -8 Combine like terms: 8 + -8 = 0 -1 + 3x + 10x2 = 0 Factor a trinomial. (-1 + -2x)(1 + -5x) = 0Subproblem 1
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 = -0.5Subproblem 2
Set the factor '(1 + -5x)' equal to zero and attempt to solve: Simplifying 1 + -5x = 0 Solving 1 + -5x = 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 + -5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5x = 0 + -1 -5x = 0 + -1 Combine like terms: 0 + -1 = -1 -5x = -1 Divide each side by '-5'. x = 0.2 Simplifying x = 0.2Solution
x = {-0.5, 0.2}
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