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Simplifying 0 = 7x2 + 42x + -49 Reorder the terms: 0 = -49 + 42x + 7x2 Solving 0 = -49 + 42x + 7x2 Solving for variable 'x'. Combine like terms: 0 + 49 = 49 49 + -42x + -7x2 = -49 + 42x + 7x2 + 49 + -42x + -7x2 Reorder the terms: 49 + -42x + -7x2 = -49 + 49 + 42x + -42x + 7x2 + -7x2 Combine like terms: -49 + 49 = 0 49 + -42x + -7x2 = 0 + 42x + -42x + 7x2 + -7x2 49 + -42x + -7x2 = 42x + -42x + 7x2 + -7x2 Combine like terms: 42x + -42x = 0 49 + -42x + -7x2 = 0 + 7x2 + -7x2 49 + -42x + -7x2 = 7x2 + -7x2 Combine like terms: 7x2 + -7x2 = 0 49 + -42x + -7x2 = 0 Factor out the Greatest Common Factor (GCF), '7'. 7(7 + -6x + -1x2) = 0 Factor a trinomial. 7((1 + -1x)(7 + x)) = 0 Ignore the factor 7.Subproblem 1
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 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 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7Solution
x = {1, -7}
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