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Simplifying 9x2 + 6x + -24 = 0 Reorder the terms: -24 + 6x + 9x2 = 0 Solving -24 + 6x + 9x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '3'. 3(-8 + 2x + 3x2) = 0 Factor a trinomial. 3((-2 + -1x)(4 + -3x)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2Subproblem 2
Set the factor '(4 + -3x)' equal to zero and attempt to solve: Simplifying 4 + -3x = 0 Solving 4 + -3x = 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 + -3x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x = 0 + -4 -3x = 0 + -4 Combine like terms: 0 + -4 = -4 -3x = -4 Divide each side by '-3'. x = 1.333333333 Simplifying x = 1.333333333Solution
x = {-2, 1.333333333}
| -(3-2)= | | -12v=-0.83333333333333 | | secx+2=0 | | 3x-8/4=12 | | 20x-4-16x=2(2x-4)+4 | | Y+(y+30)=24 | | 7x-2x=65 | | x+(x*.095)=.0219 | | x+(x*5)=50 | | 25-13-13x=3(4x-5)+2 | | 15r+7(60-r)= | | 5(-5n+6)=5n-30 | | 3/4=5 | | x+.095x=1.085x | | 4+x-2(x-6)=88 | | 2(6v-4)=-22 | | |-4x|=16 | | x^10/8x^5 | | (0.25x+-0.05)(x+-1)=0 | | 10(q-91)=80 | | y-3/4=3/10 | | 3a-6b-12=0 | | (0.25x+-0.05)(x+-1)= | | 2(c+2)=14 | | -4=v-10/2 | | 5(3x+6+x)-7x+10= | | x+(x*.095)=.219 | | 15x+8y=90 | | 2(q+3)-5=3 | | 4a-12-2a+10=8-a+6 | | 4/m=18-2/7m | | =15x^2-6x |