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Simplifying -49 = 9x2 + -42x Reorder the terms: -49 = -42x + 9x2 Solving -49 = -42x + 9x2 Solving for variable 'x'. Reorder the terms: -49 + 42x + -9x2 = -42x + 42x + 9x2 + -9x2 Combine like terms: -42x + 42x = 0 -49 + 42x + -9x2 = 0 + 9x2 + -9x2 -49 + 42x + -9x2 = 9x2 + -9x2 Combine like terms: 9x2 + -9x2 = 0 -49 + 42x + -9x2 = 0 Factor a trinomial. (-7 + 3x)(7 + -3x) = 0Subproblem 1
Set the factor '(-7 + 3x)' equal to zero and attempt to solve: Simplifying -7 + 3x = 0 Solving -7 + 3x = 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 + 3x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 3x = 0 + 7 3x = 0 + 7 Combine like terms: 0 + 7 = 7 3x = 7 Divide each side by '3'. x = 2.333333333 Simplifying x = 2.333333333Subproblem 2
Set the factor '(7 + -3x)' equal to zero and attempt to solve: Simplifying 7 + -3x = 0 Solving 7 + -3x = 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 + -3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3x = 0 + -7 -3x = 0 + -7 Combine like terms: 0 + -7 = -7 -3x = -7 Divide each side by '-3'. x = 2.333333333 Simplifying x = 2.333333333Solution
x = {2.333333333, 2.333333333}
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