x(4x-3)=(4x+3)(x-2)

Simple and best practice solution for x(4x-3)=(4x+3)(x-2) 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 x(4x-3)=(4x+3)(x-2) equation:


Simplifying
x(4x + -3) = (4x + 3)(x + -2)

Reorder the terms:
x(-3 + 4x) = (4x + 3)(x + -2)
(-3 * x + 4x * x) = (4x + 3)(x + -2)
(-3x + 4x2) = (4x + 3)(x + -2)

Reorder the terms:
-3x + 4x2 = (3 + 4x)(x + -2)

Reorder the terms:
-3x + 4x2 = (3 + 4x)(-2 + x)

Multiply (3 + 4x) * (-2 + x)
-3x + 4x2 = (3(-2 + x) + 4x * (-2 + x))
-3x + 4x2 = ((-2 * 3 + x * 3) + 4x * (-2 + x))
-3x + 4x2 = ((-6 + 3x) + 4x * (-2 + x))
-3x + 4x2 = (-6 + 3x + (-2 * 4x + x * 4x))
-3x + 4x2 = (-6 + 3x + (-8x + 4x2))

Combine like terms: 3x + -8x = -5x
-3x + 4x2 = (-6 + -5x + 4x2)

Add '-4x2' to each side of the equation.
-3x + 4x2 + -4x2 = -6 + -5x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-3x + 0 = -6 + -5x + 4x2 + -4x2
-3x = -6 + -5x + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-3x = -6 + -5x + 0
-3x = -6 + -5x

Solving
-3x = -6 + -5x

Solving for variable 'x'.

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

Add '5x' to each side of the equation.
-3x + 5x = -6 + -5x + 5x

Combine like terms: -3x + 5x = 2x
2x = -6 + -5x + 5x

Combine like terms: -5x + 5x = 0
2x = -6 + 0
2x = -6

Divide each side by '2'.
x = -3

Simplifying
x = -3

See similar equations:

| 4x-7=7x-2 | | u=143+19n | | 2-8k^2=0 | | 86+68+79+x+83=391 | | 5s+4t=28 | | -7(0.2x+0.4)-1.6=-0.2 | | z+3=-35 | | 7-2n=21 | | 2m(3+5n)=0 | | u=4(3n+34)+7(n+1) | | K*7+15=31 | | 4(5x-1)=20 | | 400g-313=x | | 2(3+6x)-3=15 | | 5(5x-4)+14=-5 | | 4(5.2x-0.7)=8x-21 | | -32-9x=-7x+20 | | 7/2x-9/2=19/2 | | 9+6x=3(2x+4) | | 0.02(y-5)+0.06y=0.18y-0.01(30) | | 2x+2.3=5.1 | | 16=1 | | 9.5x+19.13=-10.5x+18.31 | | 93000000+x=69000000 | | y^2=12-3x^2 | | 12m=-22+46 | | 40+z=20 | | K*5-9=51 | | 7.9x-3.8=12.0 | | -3(5n-7)=33 | | -5+2x=10 | | 7(-6)+3y=18 |

Equations solver categories