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Simplifying 6x2 + 34x + 40 = 0 Reorder the terms: 40 + 34x + 6x2 = 0 Solving 40 + 34x + 6x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2'. 2(20 + 17x + 3x2) = 0 Factor a trinomial. 2((4 + x)(5 + 3x)) = 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 '(5 + 3x)' equal to zero and attempt to solve: Simplifying 5 + 3x = 0 Solving 5 + 3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3x = 0 + -5 3x = 0 + -5 Combine like terms: 0 + -5 = -5 3x = -5 Divide each side by '3'. x = -1.666666667 Simplifying x = -1.666666667Solution
x = {-4, -1.666666667}
| (-6)+(4)+(6)+(-3)= | | 6x-4(4x+9)=84 | | -3x+2x-6=6 | | 24b+8=4b+12-36 | | 0.10x+10=0.35x+0 | | 6.8(x-4.5)=-27.2 | | y/3=5/6 | | -7(6x+12)=210 | | (3p-1)(4p+1)= | | -7(6x+12)=120 | | v=w(4w+3)(w-2) | | x^2+77x+1300=0 | | 3n+10=80 | | 220+x=842+x | | 3x-7(3x-4)=-188 | | x+2(5x-3)=27 | | -(j-11)=-6 | | x-4=-5x+14 | | -3x-7(-2x-7)=-17 | | 2/3x2/3x2/3= | | 2x+y=4.55 | | 32n+12-20=12n+16+2 | | 39+4= | | 90+2x+2x+4x-10+x+19=360 | | 2x+4x=7x+16 | | 2/v=8/v-1/11 | | -2x-4(2x-8)=38 | | 4(2n+3)=14 | | 3ln(x-1)+2x=15 | | 5(7n-3)=55 | | 2x-4(3x-8)=-18 | | -5x+8=2x-13 |