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Simplifying 0 = 4x2 + 5x + -21 Reorder the terms: 0 = -21 + 5x + 4x2 Solving 0 = -21 + 5x + 4x2 Solving for variable 'x'. Combine like terms: 0 + 21 = 21 21 + -5x + -4x2 = -21 + 5x + 4x2 + 21 + -5x + -4x2 Reorder the terms: 21 + -5x + -4x2 = -21 + 21 + 5x + -5x + 4x2 + -4x2 Combine like terms: -21 + 21 = 0 21 + -5x + -4x2 = 0 + 5x + -5x + 4x2 + -4x2 21 + -5x + -4x2 = 5x + -5x + 4x2 + -4x2 Combine like terms: 5x + -5x = 0 21 + -5x + -4x2 = 0 + 4x2 + -4x2 21 + -5x + -4x2 = 4x2 + -4x2 Combine like terms: 4x2 + -4x2 = 0 21 + -5x + -4x2 = 0 Factor a trinomial. (7 + -4x)(3 + x) = 0Subproblem 1
Set the factor '(7 + -4x)' equal to zero and attempt to solve: Simplifying 7 + -4x = 0 Solving 7 + -4x = 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 + -4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 0 + -7 -4x = 0 + -7 Combine like terms: 0 + -7 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Solution
x = {1.75, -3}
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