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Simplifying 2(2x2 + 11x + 12) = 0 Reorder the terms: 2(12 + 11x + 2x2) = 0 (12 * 2 + 11x * 2 + 2x2 * 2) = 0 (24 + 22x + 4x2) = 0 Solving 24 + 22x + 4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(12 + 11x + 2x2) = 0 Factor a trinomial. 2((4 + x)(3 + 2x)) = 0 Ignore the factor 2.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}
| 5/6=4/r | | 8x^2-7xy+8y^2+x+y=0 | | 4w^2+21w-18=0 | | 12/3=24/t | | 2x-2+2x+3=5 | | y=.4(5)+7 | | 10/3=50/n | | y=.8(5)+7 | | 3x/2=1w | | -2(-10+n)=24 | | 8(u+2)(u+1)-7(u+1)=3(u+2) | | .1998=.27(x+.46) | | 0.25x[2.5x+1.5(x-4)]=-x | | 9=.75x-7 | | -2(x+1)=-40 | | 5=.75x-7 | | x=.75(9)-7 | | x=.75(5)-7 | | 8/12=36/m | | 0.33(6x+5)=10 | | 2x+8x-3x= | | -3(-5n-4)+n=-40 | | x=.75(9)*7 | | -9=-5x+3x+9 | | x=.75(5)*7 | | 9=.75x*7 | | 8/12=36/m= | | 5=.75x*7 | | -8x-8+3x+6=-3x+2 | | 8u^2+14u+15=0 | | http://www.wtamu.edu/academic/anns/mps/math/mathlab/col_algebra/col_alg_tut5ex5a.gif | | -9+5x+3x+9= |
