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Simplifying 21x + -21 = 2x2 + 4x + 2x + 4 Reorder the terms: -21 + 21x = 2x2 + 4x + 2x + 4 Reorder the terms: -21 + 21x = 4 + 4x + 2x + 2x2 Combine like terms: 4x + 2x = 6x -21 + 21x = 4 + 6x + 2x2 Solving -21 + 21x = 4 + 6x + 2x2 Solving for variable 'x'. Reorder the terms: -21 + -4 + 21x + -6x + -2x2 = 4 + 6x + 2x2 + -4 + -6x + -2x2 Combine like terms: -21 + -4 = -25 -25 + 21x + -6x + -2x2 = 4 + 6x + 2x2 + -4 + -6x + -2x2 Combine like terms: 21x + -6x = 15x -25 + 15x + -2x2 = 4 + 6x + 2x2 + -4 + -6x + -2x2 Reorder the terms: -25 + 15x + -2x2 = 4 + -4 + 6x + -6x + 2x2 + -2x2 Combine like terms: 4 + -4 = 0 -25 + 15x + -2x2 = 0 + 6x + -6x + 2x2 + -2x2 -25 + 15x + -2x2 = 6x + -6x + 2x2 + -2x2 Combine like terms: 6x + -6x = 0 -25 + 15x + -2x2 = 0 + 2x2 + -2x2 -25 + 15x + -2x2 = 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -25 + 15x + -2x2 = 0 Factor a trinomial. (-5 + x)(5 + -2x) = 0Subproblem 1
Set the factor '(-5 + x)' equal to zero and attempt to solve: Simplifying -5 + x = 0 Solving -5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + x = 0 + 5 x = 0 + 5 Combine like terms: 0 + 5 = 5 x = 5 Simplifying x = 5Subproblem 2
Set the factor '(5 + -2x)' equal to zero and attempt to solve: Simplifying 5 + -2x = 0 Solving 5 + -2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = 0 + -5 -2x = 0 + -5 Combine like terms: 0 + -5 = -5 -2x = -5 Divide each side by '-2'. x = 2.5 Simplifying x = 2.5Solution
x = {5, 2.5}
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