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

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


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

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

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

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

Combine like terms: 3x + -4x = -1x
(-12 + -1x + x2) = 2x2 + 6x

Reorder the terms:
-12 + -1x + x2 = 6x + 2x2

Solving
-12 + -1x + x2 = 6x + 2x2

Solving for variable 'x'.

Reorder the terms:
-12 + -1x + -6x + x2 + -2x2 = 6x + 2x2 + -6x + -2x2

Combine like terms: -1x + -6x = -7x
-12 + -7x + x2 + -2x2 = 6x + 2x2 + -6x + -2x2

Combine like terms: x2 + -2x2 = -1x2
-12 + -7x + -1x2 = 6x + 2x2 + -6x + -2x2

Reorder the terms:
-12 + -7x + -1x2 = 6x + -6x + 2x2 + -2x2

Combine like terms: 6x + -6x = 0
-12 + -7x + -1x2 = 0 + 2x2 + -2x2
-12 + -7x + -1x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-12 + -7x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(12 + 7x + x2) = 0

Factor a trinomial.
-1((4 + x)(3 + x)) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

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

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

Simplifying
x = -4

Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {-4, -3}

See similar equations:

| 15x^3-13x^2+2x=0 | | (1k+3)-(3k+5)= | | 2x+4(-4x-22)=-242 | | 2cosx=(x^2)-1 | | 88=6x-4(3x-10) | | -3x-5=7x+1 | | 3ln(0.5x)=0 | | 15t=16t-15 | | -169=-5x+3(-2x-16) | | 14n-20=19-17n | | -6-14f=-16f | | 9x+2y=x | | d+q=28 | | 3s+20=5s-20 | | -116=-4x+4(4x+7) | | -4(8+5n)=9 | | 7(3+t)=4(2t+6) | | y-(-8)=-3/5[x-(-4)] | | -3x-4(-6x-21)=-126 | | 73t+22=21t-222 | | -34(-6x-21)=-126 | | -7x+4y=49 | | -42=-7x+2(-x+24) | | 3x-5=4x+13-6x | | 3=-3*6+b | | 5-(X-9)=11(x+6) | | 10x+15y=1425 | | (j-7)(j-7)=0 | | 76=3x+4(-4x-7) | | 3z^5=96 | | -5(3t-4)+6t=3t-9 | | 8x=12.3 |

Equations solver categories