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Simplifying 14x2 + 3x = 2x + 3 Reorder the terms: 3x + 14x2 = 2x + 3 Reorder the terms: 3x + 14x2 = 3 + 2x Solving 3x + 14x2 = 3 + 2x Solving for variable 'x'. Reorder the terms: -3 + 3x + -2x + 14x2 = 3 + 2x + -3 + -2x Combine like terms: 3x + -2x = 1x -3 + 1x + 14x2 = 3 + 2x + -3 + -2x Reorder the terms: -3 + 1x + 14x2 = 3 + -3 + 2x + -2x Combine like terms: 3 + -3 = 0 -3 + 1x + 14x2 = 0 + 2x + -2x -3 + 1x + 14x2 = 2x + -2x Combine like terms: 2x + -2x = 0 -3 + 1x + 14x2 = 0 Factor a trinomial. (-1 + -2x)(3 + -7x) = 0Subproblem 1
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 = -0.5Subproblem 2
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 = 0.4285714286Solution
x = {-0.5, 0.4285714286}
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