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Simplifying 4x2 + 56x + 80 = -112 Reorder the terms: 80 + 56x + 4x2 = -112 Solving 80 + 56x + 4x2 = -112 Solving for variable 'x'. Reorder the terms: 80 + 112 + 56x + 4x2 = -112 + 112 Combine like terms: 80 + 112 = 192 192 + 56x + 4x2 = -112 + 112 Combine like terms: -112 + 112 = 0 192 + 56x + 4x2 = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(48 + 14x + x2) = 0 Factor a trinomial. 4((8 + x)(6 + x)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 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 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Subproblem 2
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6Solution
x = {-8, -6}
| 1+m=-8 | | -3=a-5 | | -2t=4 | | b+10=12 | | n/3=-2 | | 42-6x=3x+16 | | 5=t+4 | | 1=w+5 | | t-9=-7 | | -15=k-7 | | d+3=-3 | | -7n=-7 | | 2+6n=-8 | | w+3=13 | | -1=t+2 | | 5+b=12 | | 2+n/6=-8 | | 5m=-60 | | 12=b+8 | | -6=k+2 | | -7=w-8 | | 12=n+10 | | 7=d+3 | | k/6=5 | | t+5=7 | | w+6=-2 | | 10+k=-2 | | -10+b=-8 | | 4+k=7 | | -7m=-21 | | -13=n-1 | | -15=n-5 |