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Simplifying 42x2 = -11x + 3 Reorder the terms: 42x2 = 3 + -11x Solving 42x2 = 3 + -11x Solving for variable 'x'. Reorder the terms: -3 + 11x + 42x2 = 3 + -11x + -3 + 11x Reorder the terms: -3 + 11x + 42x2 = 3 + -3 + -11x + 11x Combine like terms: 3 + -3 = 0 -3 + 11x + 42x2 = 0 + -11x + 11x -3 + 11x + 42x2 = -11x + 11x Combine like terms: -11x + 11x = 0 -3 + 11x + 42x2 = 0 Factor a trinomial. (-3 + -7x)(1 + -6x) = 0Subproblem 1
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 = -0.4285714286Subproblem 2
Set the factor '(1 + -6x)' equal to zero and attempt to solve: Simplifying 1 + -6x = 0 Solving 1 + -6x = 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 + -6x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6x = 0 + -1 -6x = 0 + -1 Combine like terms: 0 + -1 = -1 -6x = -1 Divide each side by '-6'. x = 0.1666666667 Simplifying x = 0.1666666667Solution
x = {-0.4285714286, 0.1666666667}
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