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Simplifying 42x2 + 31x + -19 = 2 Reorder the terms: -19 + 31x + 42x2 = 2 Solving -19 + 31x + 42x2 = 2 Solving for variable 'x'. Reorder the terms: -19 + -2 + 31x + 42x2 = 2 + -2 Combine like terms: -19 + -2 = -21 -21 + 31x + 42x2 = 2 + -2 Combine like terms: 2 + -2 = 0 -21 + 31x + 42x2 = 0 Factor a trinomial. (-7 + -6x)(3 + -7x) = 0Subproblem 1
Set the factor '(-7 + -6x)' equal to zero and attempt to solve: Simplifying -7 + -6x = 0 Solving -7 + -6x = 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 + -6x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -6x = 0 + 7 -6x = 0 + 7 Combine like terms: 0 + 7 = 7 -6x = 7 Divide each side by '-6'. x = -1.166666667 Simplifying x = -1.166666667Subproblem 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 = {-1.166666667, 0.4285714286}
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