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Simplifying 7x(7x + 1) = 6 Reorder the terms: 7x(1 + 7x) = 6 (1 * 7x + 7x * 7x) = 6 (7x + 49x2) = 6 Solving 7x + 49x2 = 6 Solving for variable 'x'. Reorder the terms: -6 + 7x + 49x2 = 6 + -6 Combine like terms: 6 + -6 = 0 -6 + 7x + 49x2 = 0 Factor a trinomial. (-3 + -7x)(2 + -7x) = 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 '(2 + -7x)' equal to zero and attempt to solve: Simplifying 2 + -7x = 0 Solving 2 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -7x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7x = 0 + -2 -7x = 0 + -2 Combine like terms: 0 + -2 = -2 -7x = -2 Divide each side by '-7'. x = 0.2857142857 Simplifying x = 0.2857142857Solution
x = {-0.4285714286, 0.2857142857}
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