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Simplifying 4x^{2}+ 21x + 20 = 0 Reorder the terms: 20 + 21x + 4x^{2}= 0 Solving 20 + 21x + 4x^{2}= 0 Solving for variable 'x'. Factor a trinomial. (4 + x)(5 + 4x) = 0## 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 = -4## Subproblem 2

Set the factor '(5 + 4x)' equal to zero and attempt to solve: Simplifying 5 + 4x = 0 Solving 5 + 4x = 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 + 4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 0 + -5 4x = 0 + -5 Combine like terms: 0 + -5 = -5 4x = -5 Divide each side by '4'. x = -1.25 Simplifying x = -1.25## Solution

x = {-4, -1.25}

| (7v+5)(2v-6)=0 | | 4x=1.3+3.5 | | 2a+7=-3 | | x^2-9x+21=3 | | x^2-9x+21=2 | | 5x-10=0 | | x^2-9x+21=0 | | 6x-8=7x+5 | | s-8=15 | | x^2-7x-30=0 | | t-6=7 | | 3=-2x+2 | | -7+8=19 | | -2x+6(-3x-15)=150 | | 8x-26=58+4x | | 3m=-27 | | 3m=27 | | 3=-2x+5 | | (7xy^4+4xy^4-x^3y^3)= | | 5(5a+3)=14a-29 | | 30-5x=x-18 | | -8t+-3t+2=-5t+-6.25 | | -7(3x+4)= | | -34+8n=5n+7(n-2) | | -y+3x=17 | | 4+6=3 | | 12p+p=5-2p | | -12=12g+24 | | .92=17.6c | | 25=-5g | | q=p(r+s) | | 9u-16=20 | | 9m-(7+5m)= | | 117-6x=12x+17 | | -8=-2y-18 | | -24x(5)y(3)-28x(7)y(2)=0 | | 15-21=-111 | | 8-8x=47-15x | | -8=2y-18 | | t(-6)(t+8)=0 | | 104=5x+4(-8x-1) | | (12+r)-2(r+1)=3 | | -75=-25+5d | | -85-9x=8x+17 | | -54-2v=-v+21 | | 1.2j-4.3=1.7 | | -85-9x=8+17x | | 4r+s-15r+10s= | | x-8=25 | | 3x+10=-30-7x | | 2x-1=11x | | (y-17)-10=4(-y-3) | | 6x=3x+12 | | 157-4x=5x+22 | | 5x+64=10x-6 | | 21=x+10 | | .4+6=3 | | x+x+7=155 | | 145-3x=6x+10 | | -4=x-19 | | -7-6x=5-9x | | 219-7x=29x+15 | | -5m=50 | | 5x+3.6=3x-1.2 | | x+x+5871=210355 |

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