(x+2)(x-4)=(2x+9)(x-4)

Simple and best practice solution for (x+2)(x-4)=(2x+9)(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 (x+2)(x-4)=(2x+9)(x-4) equation: 


Simplifying
(x + 2)(x + -4) = (2x + 9)(x + -4)

Reorder the terms:
(2 + x)(x + -4) = (2x + 9)(x + -4)

Reorder the terms:
(2 + x)(-4 + x) = (2x + 9)(x + -4)

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

Combine like terms: 2x + -4x = -2x
(-8 + -2x + x2) = (2x + 9)(x + -4)

Reorder the terms:
-8 + -2x + x2 = (9 + 2x)(x + -4)

Reorder the terms:
-8 + -2x + x2 = (9 + 2x)(-4 + x)

Multiply (9 + 2x) * (-4 + x)
-8 + -2x + x2 = (9(-4 + x) + 2x * (-4 + x))
-8 + -2x + x2 = ((-4 * 9 + x * 9) + 2x * (-4 + x))
-8 + -2x + x2 = ((-36 + 9x) + 2x * (-4 + x))
-8 + -2x + x2 = (-36 + 9x + (-4 * 2x + x * 2x))
-8 + -2x + x2 = (-36 + 9x + (-8x + 2x2))

Combine like terms: 9x + -8x = 1x
-8 + -2x + x2 = (-36 + 1x + 2x2)

Solving
-8 + -2x + x2 = -36 + 1x + 2x2

Solving for variable 'x'.

Reorder the terms:
-8 + 36 + -2x + -1x + x2 + -2x2 = -36 + 1x + 2x2 + 36 + -1x + -2x2

Combine like terms: -8 + 36 = 28
28 + -2x + -1x + x2 + -2x2 = -36 + 1x + 2x2 + 36 + -1x + -2x2

Combine like terms: -2x + -1x = -3x
28 + -3x + x2 + -2x2 = -36 + 1x + 2x2 + 36 + -1x + -2x2

Combine like terms: x2 + -2x2 = -1x2
28 + -3x + -1x2 = -36 + 1x + 2x2 + 36 + -1x + -2x2

Reorder the terms:
28 + -3x + -1x2 = -36 + 36 + 1x + -1x + 2x2 + -2x2

Combine like terms: -36 + 36 = 0
28 + -3x + -1x2 = 0 + 1x + -1x + 2x2 + -2x2
28 + -3x + -1x2 = 1x + -1x + 2x2 + -2x2

Combine like terms: 1x + -1x = 0
28 + -3x + -1x2 = 0 + 2x2 + -2x2
28 + -3x + -1x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
28 + -3x + -1x2 = 0

Factor a trinomial.
(4 + -1x)(7 + x) = 0


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

Simplifying
4 + -1x = 0

Solving
4 + -1x = 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 + -1x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1x = 0 + -4
-1x = 0 + -4

Combine like terms: 0 + -4 = -4
-1x = -4

Divide each side by '-1'.
x = 4

Simplifying
x = 4

Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

Solving
7 + x = 0

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

Add '-7' to each side of the equation.
7 + -7 + x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + x = 0 + -7
x = 0 + -7

Combine like terms: 0 + -7 = -7
x = -7

Simplifying
x = -7
Solution
x = {4, -7}

See similar equations:

| 2(2.9)=30+2x | | (1-x)(2x+3)-(x+1)-(1-x)(2x-3)=0 | | 9x^2+14x+5=0 | | 5x+3=9x-25 | | 2x+29=4x-13 | | 72-5x=22x+15 | | 2x+14=-52-9x | | 11x+3=8x+7 | | 3x+19=13x-61 | | 3x^2+19x+7=1 | | 23x+24x+18=-358 | | x-0.32x=3.264 | | x-0.32=3.264 | | 2(4w)+2w= | | 2+3x=7-3x | | 4w^2=144 | | 6-10x=176-45x | | 7x-13=64 | | 74-3x=13-7x | | 8x+6y=-15 | | 4p+4q=56 | | -7x-12(x+7)=-2(9x+5) | | 4(5x-4)-19x=1 | | f+f+f+f+f=0 | | 2m*3=0 | | -9x-6(x+8)=-2(7x+2) | | 46+567777651524=12 | | 46+567777651524= | | -4x=104 | | 5x+13=2x+97 | | x=56475444578-145666 | | 101-7x=38x+21 |

Equations solver categories