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Simplifying 35x2 + 34x + -22 = -1 Reorder the terms: -22 + 34x + 35x2 = -1 Solving -22 + 34x + 35x2 = -1 Solving for variable 'x'. Reorder the terms: -22 + 1 + 34x + 35x2 = -1 + 1 Combine like terms: -22 + 1 = -21 -21 + 34x + 35x2 = -1 + 1 Combine like terms: -1 + 1 = 0 -21 + 34x + 35x2 = 0 Factor a trinomial. (-7 + -5x)(3 + -7x) = 0Subproblem 1
Set the factor '(-7 + -5x)' equal to zero and attempt to solve: Simplifying -7 + -5x = 0 Solving -7 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -5x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -5x = 0 + 7 -5x = 0 + 7 Combine like terms: 0 + 7 = 7 -5x = 7 Divide each side by '-5'. x = -1.4 Simplifying x = -1.4Subproblem 2
Set the factor '(3 + -7x)' equal to zero and attempt to solve: Simplifying 3 + -7x = 0 Solving 3 + -7x = 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 + -7x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = 0 + -3 -7x = 0 + -3 Combine like terms: 0 + -3 = -3 -7x = -3 Divide each side by '-7'. x = 0.4285714286 Simplifying x = 0.4285714286Solution
x = {-1.4, 0.4285714286}
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