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Simplifying 12x2 + 66x + 72 = 0 Reorder the terms: 72 + 66x + 12x2 = 0 Solving 72 + 66x + 12x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6'. 6(12 + 11x + 2x2) = 0 Factor a trinomial. 6((4 + x)(3 + 2x)) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4Subproblem 2
Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 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 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5Solution
x = {-4, -1.5}
| 1/6t=1/2 | | (2xy^3/x^4y)^-2 | | ?(20)+x=0 | | s=x(40-2x) | | 6(w-7)-5=-4(-6w+8)-6w | | -3x^2-4=-31 | | 4(x-5)-12=x+3 | | 2x^2+1=4x-8 | | 2x^2=4x-8 | | 2/5a=10 | | 18=5(x-2)-12 | | 4q-3=14 | | (2X+1)2=(X-1)2+3x(X+2) | | 28=6.00+a(60.0) | | (1/8)^x | | log1/x | | 16y-5-8y=28 | | 8j=8j-28 | | s=x(20-2x) | | 144-15-12= | | t=66-29x | | 5/3*18 | | 1.42/-5-3.4=2.4(0.82-3) | | 4x+(3x+13)=180 | | 2(y+9)=-4(5y-1)+6y | | 240+4x=180 | | 4x^2-18x+5=0 | | 240+4x=360 | | 10x+3+8x-12+12x-9+4x+2+9x-3=360 | | A-15=11 | | 180/922.28 | | 7/4^2 |