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Simplifying 5x2 + -19x = -2x2 + -9x + -3 Reorder the terms: -19x + 5x2 = -2x2 + -9x + -3 Reorder the terms: -19x + 5x2 = -3 + -9x + -2x2 Solving -19x + 5x2 = -3 + -9x + -2x2 Solving for variable 'x'. Reorder the terms: 3 + -19x + 9x + 5x2 + 2x2 = -3 + -9x + -2x2 + 3 + 9x + 2x2 Combine like terms: -19x + 9x = -10x 3 + -10x + 5x2 + 2x2 = -3 + -9x + -2x2 + 3 + 9x + 2x2 Combine like terms: 5x2 + 2x2 = 7x2 3 + -10x + 7x2 = -3 + -9x + -2x2 + 3 + 9x + 2x2 Reorder the terms: 3 + -10x + 7x2 = -3 + 3 + -9x + 9x + -2x2 + 2x2 Combine like terms: -3 + 3 = 0 3 + -10x + 7x2 = 0 + -9x + 9x + -2x2 + 2x2 3 + -10x + 7x2 = -9x + 9x + -2x2 + 2x2 Combine like terms: -9x + 9x = 0 3 + -10x + 7x2 = 0 + -2x2 + 2x2 3 + -10x + 7x2 = -2x2 + 2x2 Combine like terms: -2x2 + 2x2 = 0 3 + -10x + 7x2 = 0 Factor a trinomial. (3 + -7x)(1 + -1x) = 0Subproblem 1
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 = 0.4285714286Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {0.4285714286, 1}
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