(2x-3)(3x+4)=6x^2

Simple and best practice solution for (2x-3)(3x+4)=6x^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 (2x-3)(3x+4)=6x^2 equation: 


Simplifying
(2x + -3)(3x + 4) = 6x2

Reorder the terms:
(-3 + 2x)(3x + 4) = 6x2

Reorder the terms:
(-3 + 2x)(4 + 3x) = 6x2

Multiply (-3 + 2x) * (4 + 3x)
(-3(4 + 3x) + 2x * (4 + 3x)) = 6x2
((4 * -3 + 3x * -3) + 2x * (4 + 3x)) = 6x2
((-12 + -9x) + 2x * (4 + 3x)) = 6x2
(-12 + -9x + (4 * 2x + 3x * 2x)) = 6x2
(-12 + -9x + (8x + 6x2)) = 6x2

Combine like terms: -9x + 8x = -1x
(-12 + -1x + 6x2) = 6x2

Add '-6x2' to each side of the equation.
-12 + -1x + 6x2 + -6x2 = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-12 + -1x + 0 = 6x2 + -6x2
-12 + -1x = 6x2 + -6x2

Combine like terms: 6x2 + -6x2 = 0
-12 + -1x = 0

Solving
-12 + -1x = 0

Solving for variable 'x'.

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

Add '12' to each side of the equation.
-12 + 12 + -1x = 0 + 12

Combine like terms: -12 + 12 = 0
0 + -1x = 0 + 12
-1x = 0 + 12

Combine like terms: 0 + 12 = 12
-1x = 12

Divide each side by '-1'.
x = -12

Simplifying
x = -12

See similar equations:

| 3x-8=19x | | (5/8n)+5=(7/8n)+7 | | (x+2)(x+5)=5 | | 2x^2+25x-7.5=0 | | 0.1(0.1x+0.9)= | | 5x+3x=6x | | -(3/5)^2 | | 7x+4*14=28 | | 7*0+4y=28 | | 4(a-3)+2=(a-5) | | 5x^2-8x+300=0 | | 0.5-0.3(2-x)=4.6 | | (3x-18)=0 | | 3(7-x)-33=17x-4(3+5x) | | -10x-x*x=25 | | x/3+26=28+x/5 | | 7x-8+15x= | | y=x^2+14x-24 | | H/6+2=40 | | 4x+1=3x+1-7x | | X(-2-3)=10 | | (-2*8)(8)+(-25)=x | | 10(n)=2n-1 | | yz=18 | | 3/2-1=2x-6 | | 13+4m=24 | | 11y-2.9=12y+2.9 | | 6x-4y=1 | | 4x+3=2(5x-2) | | 7w+5+3w=40 | | -12(8)-120=x | | (-6)-4*8+11*2=x |

Equations solver categories