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Simplifying f(0) = 2x2 + 5x + -7 Reorder the terms for easier multiplication: 0f = 2x2 + 5x + -7 Anything times zero is zero. 0f = 2x2 + 5x + -7 Reorder the terms: 0 = -7 + 5x + 2x2 Solving 0 = -7 + 5x + 2x2 Solving for variable 'x'. Combine like terms: 0 + 7 = 7 7 + -5x + -2x2 = -7 + 5x + 2x2 + 7 + -5x + -2x2 Reorder the terms: 7 + -5x + -2x2 = -7 + 7 + 5x + -5x + 2x2 + -2x2 Combine like terms: -7 + 7 = 0 7 + -5x + -2x2 = 0 + 5x + -5x + 2x2 + -2x2 7 + -5x + -2x2 = 5x + -5x + 2x2 + -2x2 Combine like terms: 5x + -5x = 0 7 + -5x + -2x2 = 0 + 2x2 + -2x2 7 + -5x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 7 + -5x + -2x2 = 0 Factor a trinomial. (1 + -1x)(7 + 2x) = 0Subproblem 1
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 = 1Subproblem 2
Set the factor '(7 + 2x)' equal to zero and attempt to solve: Simplifying 7 + 2x = 0 Solving 7 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2x = 0 + -7 2x = 0 + -7 Combine like terms: 0 + -7 = -7 2x = -7 Divide each side by '2'. x = -3.5 Simplifying x = -3.5Solution
x = {1, -3.5}
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