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Simplifying 20x2 + 7x + 6 = 9 Reorder the terms: 6 + 7x + 20x2 = 9 Solving 6 + 7x + 20x2 = 9 Solving for variable 'x'. Reorder the terms: 6 + -9 + 7x + 20x2 = 9 + -9 Combine like terms: 6 + -9 = -3 -3 + 7x + 20x2 = 9 + -9 Combine like terms: 9 + -9 = 0 -3 + 7x + 20x2 = 0 Factor a trinomial. (-3 + -5x)(1 + -4x) = 0Subproblem 1
Set the factor '(-3 + -5x)' equal to zero and attempt to solve: Simplifying -3 + -5x = 0 Solving -3 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -5x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -5x = 0 + 3 -5x = 0 + 3 Combine like terms: 0 + 3 = 3 -5x = 3 Divide each side by '-5'. x = -0.6 Simplifying x = -0.6Subproblem 2
Set the factor '(1 + -4x)' equal to zero and attempt to solve: Simplifying 1 + -4x = 0 Solving 1 + -4x = 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 + -4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4x = 0 + -1 -4x = 0 + -1 Combine like terms: 0 + -1 = -1 -4x = -1 Divide each side by '-4'. x = 0.25 Simplifying x = 0.25Solution
x = {-0.6, 0.25}
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