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Simplifying 10x2 = -7x + 6 Reorder the terms: 10x2 = 6 + -7x Solving 10x2 = 6 + -7x Solving for variable 'x'. Reorder the terms: -6 + 7x + 10x2 = 6 + -7x + -6 + 7x Reorder the terms: -6 + 7x + 10x2 = 6 + -6 + -7x + 7x Combine like terms: 6 + -6 = 0 -6 + 7x + 10x2 = 0 + -7x + 7x -6 + 7x + 10x2 = -7x + 7x Combine like terms: -7x + 7x = 0 -6 + 7x + 10x2 = 0 Factor a trinomial. (-6 + -5x)(1 + -2x) = 0Subproblem 1
Set the factor '(-6 + -5x)' equal to zero and attempt to solve: Simplifying -6 + -5x = 0 Solving -6 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -5x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = 0 + 6 -5x = 0 + 6 Combine like terms: 0 + 6 = 6 -5x = 6 Divide each side by '-5'. x = -1.2 Simplifying x = -1.2Subproblem 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 = {-1.2, 0.5}
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