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Simplifying 7x(7x + 2) = 8 Reorder the terms: 7x(2 + 7x) = 8 (2 * 7x + 7x * 7x) = 8 (14x + 49x2) = 8 Solving 14x + 49x2 = 8 Solving for variable 'x'. Reorder the terms: -8 + 14x + 49x2 = 8 + -8 Combine like terms: 8 + -8 = 0 -8 + 14x + 49x2 = 0 Factor a trinomial. (-4 + -7x)(2 + -7x) = 0Subproblem 1
Set the factor '(-4 + -7x)' equal to zero and attempt to solve: Simplifying -4 + -7x = 0 Solving -4 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -7x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -7x = 0 + 4 -7x = 0 + 4 Combine like terms: 0 + 4 = 4 -7x = 4 Divide each side by '-7'. x = -0.5714285714 Simplifying x = -0.5714285714Subproblem 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 = {-0.5714285714, 0.2857142857}
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