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Simplifying 3x2 + kx + -5 = (3x + -1)(x + 5) Reorder the terms: -5 + kx + 3x2 = (3x + -1)(x + 5) Reorder the terms: -5 + kx + 3x2 = (-1 + 3x)(x + 5) Reorder the terms: -5 + kx + 3x2 = (-1 + 3x)(5 + x) Multiply (-1 + 3x) * (5 + x) -5 + kx + 3x2 = (-1(5 + x) + 3x * (5 + x)) -5 + kx + 3x2 = ((5 * -1 + x * -1) + 3x * (5 + x)) -5 + kx + 3x2 = ((-5 + -1x) + 3x * (5 + x)) -5 + kx + 3x2 = (-5 + -1x + (5 * 3x + x * 3x)) -5 + kx + 3x2 = (-5 + -1x + (15x + 3x2)) Combine like terms: -1x + 15x = 14x -5 + kx + 3x2 = (-5 + 14x + 3x2) Add '5' to each side of the equation. -5 + kx + 5 + 3x2 = -5 + 14x + 5 + 3x2 Reorder the terms: -5 + 5 + kx + 3x2 = -5 + 14x + 5 + 3x2 Combine like terms: -5 + 5 = 0 0 + kx + 3x2 = -5 + 14x + 5 + 3x2 kx + 3x2 = -5 + 14x + 5 + 3x2 Reorder the terms: kx + 3x2 = -5 + 5 + 14x + 3x2 Combine like terms: -5 + 5 = 0 kx + 3x2 = 0 + 14x + 3x2 kx + 3x2 = 14x + 3x2 Add '-3x2' to each side of the equation. kx + 3x2 + -3x2 = 14x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 kx + 0 = 14x + 3x2 + -3x2 kx = 14x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 kx = 14x + 0 kx = 14x Solving kx = 14x Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Divide each side by 'x'. k = 14 Simplifying k = 14
| 5n-6m=18 | | 3x+9=8-4x | | (2x+26)+(2x-8.5)=145.5 | | 6m-5n=18 | | 1/3x-2= | | 3/4(-8a)= | | 7x-2=8-4x | | 6-4x=9x-6 | | 6c^3+18c^2-24c=0 | | 0.05x+0.12(x+5000)=94000 | | (2x)(x-3)=1.25x^2 | | 3x-9-5x=3 | | 5(2x-8)-4(x+1)-18x= | | 36=X+(.06X) | | 4(2x-4)=10 | | 8/15-(-2/3)= | | x/7x-14*x^2-2x/4 | | 0.2(g-5)+4.1g= | | y=1/3*2^3-5*2^2 | | 8(2x+4)=3(6x+4) | | 67=(2*x+3)(x+4) | | -4.9(t^2-(2.5/-4.9)t)=0 | | x+83=167 | | x/-3=-2-(-7) | | 16+-10= | | -4.9t^2+2.5t=0 | | x-15y=20 | | 3y-8=-14+y | | 6x-9y=-10 | | 3(2x-15)=2(x-3)+1 | | 8-9y= | | 5-5=17x+11x |