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

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


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

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

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

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

Combine like terms: 3x + -4x = -1x
(-12 + -1x + x2) = 3x

Solving
-12 + -1x + x2 = 3x

Solving for variable 'x'.

Reorder the terms:
-12 + -1x + -3x + x2 = 3x + -3x

Combine like terms: -1x + -3x = -4x
-12 + -4x + x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
-12 + -4x + x2 = 0

Factor a trinomial.
(-2 + -1x)(6 + -1x) = 0

Subproblem 1

Set the factor '(-2 + -1x)' equal to zero and attempt to solve: Simplifying -2 + -1x = 0 Solving -2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = 0 + 2 -1x = 0 + 2 Combine like terms: 0 + 2 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2

Subproblem 2

Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6

Solution

x = {-2, 6}

See similar equations:

| 1.4+7.2/2+5*3 | | 7.5+n+9.63= | | -12x+5x+3=10 | | 5.5*8.4-(28/4) | | 7x-4=5x-35 | | 2x^3+9x^2+10x+3=0 | | 0,5x1/3 | | 2(5-4y)=10x-4y | | X-1/x+9=x+2/x-6 | | -19(q-8)= | | 50x+20y=500 | | 18+n/2=7 | | -2y=-26 | | -3(-3.8x+3)= | | 6*x^5+10*x^4=3*x^3+5*x^2 | | 20+5x=(x-3) | | -(x+4y)= | | X/2=y+8/3 | | 12=8x+3 | | -(x-3y)= | | 6(x+3y)= | | 3x+9x=2 | | 6x-4=2x+9 | | 6x-4=2x+2 | | -1/3+6+1/3 | | x-.4x=678 | | -14x+6y=-7 | | x-.4x=53 | | x-.4x=653 | | x-.4x=38 | | x-.4x=72 | | X+13-25=28 |

Equations solver categories