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Simplifying -4x2 + -18x + -18 = 0 Reorder the terms: -18 + -18x + -4x2 = 0 Solving -18 + -18x + -4x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-2'. -2(9 + 9x + 2x2) = 0 Factor a trinomial. -2((3 + x)(3 + 2x)) = 0 Ignore the factor -2.Subproblem 1
Set the factor '(3 + x)' equal to zero and attempt to solve: Simplifying 3 + x = 0 Solving 3 + x = 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 + x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + x = 0 + -3 x = 0 + -3 Combine like terms: 0 + -3 = -3 x = -3 Simplifying x = -3Subproblem 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 = {-3, -1.5}
| 4x+2y-3z=12 | | 8x+11=2x-13 | | 16x^3+24x^2= | | 14=26+5x | | X-x^2=342 | | 1+2m=17 | | (-3x^3+2x^2-3x+5)+(7x^3+3x^2-5x-2)=13x+2 | | -5+8m=2m-11 | | (7x^2+5x-2)-(3x^2-3x)-(-6x^3-7x^2+4)=6x | | h=-16t^2-10t+6 | | 16=3(x-4) | | (7x^2+5x-2)-(3x^2-3x)-(-6x^3-7x^2+4)= | | 5lnx=50 | | n=3m+5 | | n^2+6=97 | | 2a+10b=-4 | | y(y+6)=100 | | 2y-5=16 | | (-3x^3+2x^2-3x+5)+(7x^3+3x^2-5x-2)=2x | | 0=0.5x^2+3.5x+5 | | (-3x^3+2x^2-3x+5)+(7x^3+3x^2-5x-2)=34x | | (-3x^3+2x^2-3x+5)+(7x^3+3x^2-5x-2)=x+34 | | (-3x^3+2x^2-3x+5)+(7x^3+3x^2-5x-2)=6x | | 2x+5z=7+5y | | 9r=-8 | | (-3x^3+2x^2-3x+5)+(7x^3+3x^2-5x-2)= | | -3+5(x-6)=32 | | (-3x^3+2x^2-3x+5)+(7x^3+3x^2-5x-2)=36 | | 5(2-x)+3(x+5)=-7x | | (-3x^3+2x^2-3x+5)+(7x^3+3x^2-5x-2)=35 | | 54=(1.5)*r^2 | | 2x+50x^2=35 |