(4x-3)(3x-3)=(12x+1)(x-4)

Simple and best practice solution for (4x-3)(3x-3)=(12x+1)(x-4) equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for (4x-3)(3x-3)=(12x+1)(x-4) equation:


Simplifying
(4x + -3)(3x + -3) = (12x + 1)(x + -4)

Reorder the terms:
(-3 + 4x)(3x + -3) = (12x + 1)(x + -4)

Reorder the terms:
(-3 + 4x)(-3 + 3x) = (12x + 1)(x + -4)

Multiply (-3 + 4x) * (-3 + 3x)
(-3(-3 + 3x) + 4x * (-3 + 3x)) = (12x + 1)(x + -4)
((-3 * -3 + 3x * -3) + 4x * (-3 + 3x)) = (12x + 1)(x + -4)
((9 + -9x) + 4x * (-3 + 3x)) = (12x + 1)(x + -4)
(9 + -9x + (-3 * 4x + 3x * 4x)) = (12x + 1)(x + -4)
(9 + -9x + (-12x + 12x2)) = (12x + 1)(x + -4)

Combine like terms: -9x + -12x = -21x
(9 + -21x + 12x2) = (12x + 1)(x + -4)

Reorder the terms:
9 + -21x + 12x2 = (1 + 12x)(x + -4)

Reorder the terms:
9 + -21x + 12x2 = (1 + 12x)(-4 + x)

Multiply (1 + 12x) * (-4 + x)
9 + -21x + 12x2 = (1(-4 + x) + 12x * (-4 + x))
9 + -21x + 12x2 = ((-4 * 1 + x * 1) + 12x * (-4 + x))
9 + -21x + 12x2 = ((-4 + 1x) + 12x * (-4 + x))
9 + -21x + 12x2 = (-4 + 1x + (-4 * 12x + x * 12x))
9 + -21x + 12x2 = (-4 + 1x + (-48x + 12x2))

Combine like terms: 1x + -48x = -47x
9 + -21x + 12x2 = (-4 + -47x + 12x2)

Add '-12x2' to each side of the equation.
9 + -21x + 12x2 + -12x2 = -4 + -47x + 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
9 + -21x + 0 = -4 + -47x + 12x2 + -12x2
9 + -21x = -4 + -47x + 12x2 + -12x2

Combine like terms: 12x2 + -12x2 = 0
9 + -21x = -4 + -47x + 0
9 + -21x = -4 + -47x

Solving
9 + -21x = -4 + -47x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '47x' to each side of the equation.
9 + -21x + 47x = -4 + -47x + 47x

Combine like terms: -21x + 47x = 26x
9 + 26x = -4 + -47x + 47x

Combine like terms: -47x + 47x = 0
9 + 26x = -4 + 0
9 + 26x = -4

Add '-9' to each side of the equation.
9 + -9 + 26x = -4 + -9

Combine like terms: 9 + -9 = 0
0 + 26x = -4 + -9
26x = -4 + -9

Combine like terms: -4 + -9 = -13
26x = -13

Divide each side by '26'.
x = -0.5

Simplifying
x = -0.5

See similar equations:

| 1a-11=39 | | 8x-2(x-6)=6(x+1)+3 | | 15m-8m=-73 | | (1/14)(a+5)=(1/4)(2-a) | | 12x^2-21x+9=12x^2-49x-4 | | -(x+3)+2(x-1)=4(x-1) | | x^2+23x-120=0 | | (x+4)(x-4)=-55 | | 181=6(8-3p)+7 | | 2(x-3)=4x+14 | | 148=3m+5(4m+2) | | 1/2(8n-2)=16-30n | | 9x-4=-4(1+6x)-6x | | -5(7x-1)=-100 | | (x/4)+(4/7)=7/12 | | (13x+2)+90+(16x-7)+90=360 | | -8(1-4k)=152 | | 5x+2/3=5x-1/6 | | (13x+2)+90+(16x-7)+90= | | x+8/8=x-7/7 | | 4/7y=1/2x-1 | | 98=7(n+8) | | 2(x-1)=2x+1 | | 3x+21/2=x/2+3x+6 | | -3(4-x)=x-2(x+1) | | 3x+8=18+4x | | 13-20x-x^2-3x^4=0 | | -14=-2a+4a | | 2y+4=3(y+7) | | 12=5b-8b | | 30x^2-11p-30=0 | | 2x+2(8x+7)=8(1+3x) |

Equations solver categories