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Simplifying 0 = -9x2 + 42x + -49 Reorder the terms: 0 = -49 + 42x + -9x2 Solving 0 = -49 + 42x + -9x2 Solving for variable 'x'. Combine like terms: 0 + 49 = 49 49 + -42x + 9x2 = -49 + 42x + -9x2 + 49 + -42x + 9x2 Reorder the terms: 49 + -42x + 9x2 = -49 + 49 + 42x + -42x + -9x2 + 9x2 Combine like terms: -49 + 49 = 0 49 + -42x + 9x2 = 0 + 42x + -42x + -9x2 + 9x2 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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