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Simplifying f(0) = 5x2 + 13x + -28 Reorder the terms for easier multiplication: 0f = 5x2 + 13x + -28 Anything times zero is zero. 0f = 5x2 + 13x + -28 Reorder the terms: 0 = -28 + 13x + 5x2 Solving 0 = -28 + 13x + 5x2 Solving for variable 'x'. Combine like terms: 0 + 28 = 28 28 + -13x + -5x2 = -28 + 13x + 5x2 + 28 + -13x + -5x2 Reorder the terms: 28 + -13x + -5x2 = -28 + 28 + 13x + -13x + 5x2 + -5x2 Combine like terms: -28 + 28 = 0 28 + -13x + -5x2 = 0 + 13x + -13x + 5x2 + -5x2 28 + -13x + -5x2 = 13x + -13x + 5x2 + -5x2 Combine like terms: 13x + -13x = 0 28 + -13x + -5x2 = 0 + 5x2 + -5x2 28 + -13x + -5x2 = 5x2 + -5x2 Combine like terms: 5x2 + -5x2 = 0 28 + -13x + -5x2 = 0 Factor a trinomial. (7 + -5x)(4 + x) = 0Subproblem 1
Set the factor '(7 + -5x)' equal to zero and attempt to solve: Simplifying 7 + -5x = 0 Solving 7 + -5x = 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 + -5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = 0 + -7 -5x = 0 + -7 Combine like terms: 0 + -7 = -7 -5x = -7 Divide each side by '-5'. x = 1.4 Simplifying x = 1.4Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 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 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Solution
x = {1.4, -4}
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