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Simplifying x2 + 3 = 4x + 35 Reorder the terms: 3 + x2 = 4x + 35 Reorder the terms: 3 + x2 = 35 + 4x Solving 3 + x2 = 35 + 4x Solving for variable 'x'. Reorder the terms: 3 + -35 + -4x + x2 = 35 + 4x + -35 + -4x Combine like terms: 3 + -35 = -32 -32 + -4x + x2 = 35 + 4x + -35 + -4x Reorder the terms: -32 + -4x + x2 = 35 + -35 + 4x + -4x Combine like terms: 35 + -35 = 0 -32 + -4x + x2 = 0 + 4x + -4x -32 + -4x + x2 = 4x + -4x Combine like terms: 4x + -4x = 0 -32 + -4x + x2 = 0 Factor a trinomial. (-4 + -1x)(8 + -1x) = 0Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve: Simplifying -4 + -1x = 0 Solving -4 + -1x = 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 + -1x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1x = 0 + 4 -1x = 0 + 4 Combine like terms: 0 + 4 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Solution
x = {-4, 8}
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