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Simplifying 3x2 = 7x + 48 Reorder the terms: 3x2 = 48 + 7x Solving 3x2 = 48 + 7x Solving for variable 'x'. Reorder the terms: -48 + -7x + 3x2 = 48 + 7x + -48 + -7x Reorder the terms: -48 + -7x + 3x2 = 48 + -48 + 7x + -7x Combine like terms: 48 + -48 = 0 -48 + -7x + 3x2 = 0 + 7x + -7x -48 + -7x + 3x2 = 7x + -7x Combine like terms: 7x + -7x = 0 -48 + -7x + 3x2 = 0 Factor a trinomial. (-3 + -1x)(16 + -3x) = 0Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve: Simplifying -3 + -1x = 0 Solving -3 + -1x = 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 + -1x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = 0 + 3 -1x = 0 + 3 Combine like terms: 0 + 3 = 3 -1x = 3 Divide each side by '-1'. x = -3 Simplifying x = -3Subproblem 2
Set the factor '(16 + -3x)' equal to zero and attempt to solve: Simplifying 16 + -3x = 0 Solving 16 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -3x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -3x = 0 + -16 -3x = 0 + -16 Combine like terms: 0 + -16 = -16 -3x = -16 Divide each side by '-3'. x = 5.333333333 Simplifying x = 5.333333333Solution
x = {-3, 5.333333333}
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