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Simplifying (49x2) + 14x + 1 = 9 Reorder the terms: 1 + 14x + (49x2) = 9 Solving 1 + 14x + (49x2) = 9 Solving for variable 'x'. Reorder the terms: 1 + -9 + 14x + (49x2) = 9 + -9 Combine like terms: 1 + -9 = -8 -8 + 14x + (49x2) = 9 + -9 Combine like terms: 9 + -9 = 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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