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Simplifying 14x2 = -1x + 4 Reorder the terms: 14x2 = 4 + -1x Solving 14x2 = 4 + -1x Solving for variable 'x'. Reorder the terms: -4 + x + 14x2 = 4 + -1x + -4 + x Reorder the terms: -4 + x + 14x2 = 4 + -4 + -1x + x Combine like terms: 4 + -4 = 0 -4 + x + 14x2 = 0 + -1x + x -4 + x + 14x2 = -1x + x Combine like terms: -1x + x = 0 -4 + x + 14x2 = 0 Factor a trinomial. (-4 + -7x)(1 + -2x) = 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 '(1 + -2x)' equal to zero and attempt to solve: Simplifying 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Divide each side by '-2'. x = 0.5 Simplifying x = 0.5Solution
x = {-0.5714285714, 0.5}
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