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Simplifying x2 + 15x + 21 = 7x + 5 Reorder the terms: 21 + 15x + x2 = 7x + 5 Reorder the terms: 21 + 15x + x2 = 5 + 7x Solving 21 + 15x + x2 = 5 + 7x Solving for variable 'x'. Reorder the terms: 21 + -5 + 15x + -7x + x2 = 5 + 7x + -5 + -7x Combine like terms: 21 + -5 = 16 16 + 15x + -7x + x2 = 5 + 7x + -5 + -7x Combine like terms: 15x + -7x = 8x 16 + 8x + x2 = 5 + 7x + -5 + -7x Reorder the terms: 16 + 8x + x2 = 5 + -5 + 7x + -7x Combine like terms: 5 + -5 = 0 16 + 8x + x2 = 0 + 7x + -7x 16 + 8x + x2 = 7x + -7x Combine like terms: 7x + -7x = 0 16 + 8x + x2 = 0 Factor a trinomial. (4 + x)(4 + x) = 0Subproblem 1
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 = -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 = {-4, -4}
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