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Simplifying 7x2 + 5x + 4 = 2x2 + -1x + 3 Reorder the terms: 4 + 5x + 7x2 = 2x2 + -1x + 3 Reorder the terms: 4 + 5x + 7x2 = 3 + -1x + 2x2 Solving 4 + 5x + 7x2 = 3 + -1x + 2x2 Solving for variable 'x'. Reorder the terms: 4 + -3 + 5x + x + 7x2 + -2x2 = 3 + -1x + 2x2 + -3 + x + -2x2 Combine like terms: 4 + -3 = 1 1 + 5x + x + 7x2 + -2x2 = 3 + -1x + 2x2 + -3 + x + -2x2 Combine like terms: 5x + x = 6x 1 + 6x + 7x2 + -2x2 = 3 + -1x + 2x2 + -3 + x + -2x2 Combine like terms: 7x2 + -2x2 = 5x2 1 + 6x + 5x2 = 3 + -1x + 2x2 + -3 + x + -2x2 Reorder the terms: 1 + 6x + 5x2 = 3 + -3 + -1x + x + 2x2 + -2x2 Combine like terms: 3 + -3 = 0 1 + 6x + 5x2 = 0 + -1x + x + 2x2 + -2x2 1 + 6x + 5x2 = -1x + x + 2x2 + -2x2 Combine like terms: -1x + x = 0 1 + 6x + 5x2 = 0 + 2x2 + -2x2 1 + 6x + 5x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 1 + 6x + 5x2 = 0 Factor a trinomial. (1 + x)(1 + 5x) = 0Subproblem 1
Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1Subproblem 2
Set the factor '(1 + 5x)' equal to zero and attempt to solve: Simplifying 1 + 5x = 0 Solving 1 + 5x = 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 + 5x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5x = 0 + -1 5x = 0 + -1 Combine like terms: 0 + -1 = -1 5x = -1 Divide each side by '5'. x = -0.2 Simplifying x = -0.2Solution
x = {-1, -0.2}
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