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Simplifying 49(x)(x) + 15x + -8 = x Multiply x * x 49x2 + 15x + -8 = x Reorder the terms: -8 + 15x + 49x2 = x Solving -8 + 15x + 49x2 = x Solving for variable 'x'. Reorder the terms: -8 + 15x + -1x + 49x2 = x + -1x Combine like terms: 15x + -1x = 14x -8 + 14x + 49x2 = x + -1x Combine like terms: x + -1x = 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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