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Simplifying 4(x + -1)(x + 4) + -1(x + 2)(x + 4) = 3(x + 2)(x + -1) Reorder the terms: 4(-1 + x)(x + 4) + -1(x + 2)(x + 4) = 3(x + 2)(x + -1) Reorder the terms: 4(-1 + x)(4 + x) + -1(x + 2)(x + 4) = 3(x + 2)(x + -1) Multiply (-1 + x) * (4 + x) 4(-1(4 + x) + x(4 + x)) + -1(x + 2)(x + 4) = 3(x + 2)(x + -1) 4((4 * -1 + x * -1) + x(4 + x)) + -1(x + 2)(x + 4) = 3(x + 2)(x + -1) 4((-4 + -1x) + x(4 + x)) + -1(x + 2)(x + 4) = 3(x + 2)(x + -1) 4(-4 + -1x + (4 * x + x * x)) + -1(x + 2)(x + 4) = 3(x + 2)(x + -1) 4(-4 + -1x + (4x + x2)) + -1(x + 2)(x + 4) = 3(x + 2)(x + -1) Combine like terms: -1x + 4x = 3x 4(-4 + 3x + x2) + -1(x + 2)(x + 4) = 3(x + 2)(x + -1) (-4 * 4 + 3x * 4 + x2 * 4) + -1(x + 2)(x + 4) = 3(x + 2)(x + -1) (-16 + 12x + 4x2) + -1(x + 2)(x + 4) = 3(x + 2)(x + -1) Reorder the terms: -16 + 12x + 4x2 + -1(2 + x)(x + 4) = 3(x + 2)(x + -1) Reorder the terms: -16 + 12x + 4x2 + -1(2 + x)(4 + x) = 3(x + 2)(x + -1) Multiply (2 + x) * (4 + x) -16 + 12x + 4x2 + -1(2(4 + x) + x(4 + x)) = 3(x + 2)(x + -1) -16 + 12x + 4x2 + -1((4 * 2 + x * 2) + x(4 + x)) = 3(x + 2)(x + -1) -16 + 12x + 4x2 + -1((8 + 2x) + x(4 + x)) = 3(x + 2)(x + -1) -16 + 12x + 4x2 + -1(8 + 2x + (4 * x + x * x)) = 3(x + 2)(x + -1) -16 + 12x + 4x2 + -1(8 + 2x + (4x + x2)) = 3(x + 2)(x + -1) Combine like terms: 2x + 4x = 6x -16 + 12x + 4x2 + -1(8 + 6x + x2) = 3(x + 2)(x + -1) -16 + 12x + 4x2 + (8 * -1 + 6x * -1 + x2 * -1) = 3(x + 2)(x + -1) -16 + 12x + 4x2 + (-8 + -6x + -1x2) = 3(x + 2)(x + -1) Reorder the terms: -16 + -8 + 12x + -6x + 4x2 + -1x2 = 3(x + 2)(x + -1) Combine like terms: -16 + -8 = -24 -24 + 12x + -6x + 4x2 + -1x2 = 3(x + 2)(x + -1) Combine like terms: 12x + -6x = 6x -24 + 6x + 4x2 + -1x2 = 3(x + 2)(x + -1) Combine like terms: 4x2 + -1x2 = 3x2 -24 + 6x + 3x2 = 3(x + 2)(x + -1) Reorder the terms: -24 + 6x + 3x2 = 3(2 + x)(x + -1) Reorder the terms: -24 + 6x + 3x2 = 3(2 + x)(-1 + x) Multiply (2 + x) * (-1 + x) -24 + 6x + 3x2 = 3(2(-1 + x) + x(-1 + x)) -24 + 6x + 3x2 = 3((-1 * 2 + x * 2) + x(-1 + x)) -24 + 6x + 3x2 = 3((-2 + 2x) + x(-1 + x)) -24 + 6x + 3x2 = 3(-2 + 2x + (-1 * x + x * x)) -24 + 6x + 3x2 = 3(-2 + 2x + (-1x + x2)) Combine like terms: 2x + -1x = 1x -24 + 6x + 3x2 = 3(-2 + 1x + x2) -24 + 6x + 3x2 = (-2 * 3 + 1x * 3 + x2 * 3) -24 + 6x + 3x2 = (-6 + 3x + 3x2) Add '-3x2' to each side of the equation. -24 + 6x + 3x2 + -3x2 = -6 + 3x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -24 + 6x + 0 = -6 + 3x + 3x2 + -3x2 -24 + 6x = -6 + 3x + 3x2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 -24 + 6x = -6 + 3x + 0 -24 + 6x = -6 + 3x Solving -24 + 6x = -6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -24 + 6x + -3x = -6 + 3x + -3x Combine like terms: 6x + -3x = 3x -24 + 3x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 -24 + 3x = -6 + 0 -24 + 3x = -6 Add '24' to each side of the equation. -24 + 24 + 3x = -6 + 24 Combine like terms: -24 + 24 = 0 0 + 3x = -6 + 24 3x = -6 + 24 Combine like terms: -6 + 24 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
| (2.5x10^16)/(5x10^15) | | x=2(2d+4) | | 5e^3x=1700 | | 13-u=246 | | (9*8xy)/(2xy*36) | | 18x-30=5 | | -54=-3(-4+8) | | e^(2x)/e^(5x) | | -54=-3(-5+8) | | -54=-3(10+8) | | 15(4t-1)2+8(4t-1)=12 | | -54=-3(7+8) | | .50x+.25(70)=45.5 | | 7x1/7 | | 3-3/4x=7/10 | | -8w-3=5w^2 | | 4x+3=-7+2x+22 | | 9·1/5 | | .3*x=.06 | | tan(2pi/8) | | 4(2n-2)=(5n+2)+3 | | 2lnx+9=25 | | 5y+3(y+7)=3(y+2)-5 | | 5(3x+2)=14*2x | | 3(x+3)-2(2x+3)=8(x-3) | | 5(3x+2)=4*2x | | 20n^2-2n-120=0 | | 5e+26=0 | | 12timesn=108 | | 101.24+(-12.96)= | | 108=12timesn | | 21x-1.2=16x+1.2 |