(x-4)(2x+1)=(x+2)(x-2)

Simple and best practice solution for (x-4)(2x+1)=(x+2)(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-4)(2x+1)=(x+2)(x-2) equation: 


Simplifying
(x + -4)(2x + 1) = (x + 2)(x + -2)

Reorder the terms:
(-4 + x)(2x + 1) = (x + 2)(x + -2)

Reorder the terms:
(-4 + x)(1 + 2x) = (x + 2)(x + -2)

Multiply (-4 + x) * (1 + 2x)
(-4(1 + 2x) + x(1 + 2x)) = (x + 2)(x + -2)
((1 * -4 + 2x * -4) + x(1 + 2x)) = (x + 2)(x + -2)
((-4 + -8x) + x(1 + 2x)) = (x + 2)(x + -2)
(-4 + -8x + (1 * x + 2x * x)) = (x + 2)(x + -2)
(-4 + -8x + (1x + 2x2)) = (x + 2)(x + -2)

Combine like terms: -8x + 1x = -7x
(-4 + -7x + 2x2) = (x + 2)(x + -2)

Reorder the terms:
-4 + -7x + 2x2 = (2 + x)(x + -2)

Reorder the terms:
-4 + -7x + 2x2 = (2 + x)(-2 + x)

Multiply (2 + x) * (-2 + x)
-4 + -7x + 2x2 = (2(-2 + x) + x(-2 + x))
-4 + -7x + 2x2 = ((-2 * 2 + x * 2) + x(-2 + x))
-4 + -7x + 2x2 = ((-4 + 2x) + x(-2 + x))
-4 + -7x + 2x2 = (-4 + 2x + (-2 * x + x * x))
-4 + -7x + 2x2 = (-4 + 2x + (-2x + x2))

Combine like terms: 2x + -2x = 0
-4 + -7x + 2x2 = (-4 + 0 + x2)
-4 + -7x + 2x2 = (-4 + x2)

Add '4' to each side of the equation.
-4 + -7x + 4 + 2x2 = -4 + 4 + x2

Reorder the terms:
-4 + 4 + -7x + 2x2 = -4 + 4 + x2

Combine like terms: -4 + 4 = 0
0 + -7x + 2x2 = -4 + 4 + x2
-7x + 2x2 = -4 + 4 + x2

Combine like terms: -4 + 4 = 0
-7x + 2x2 = 0 + x2
-7x + 2x2 = x2

Solving
-7x + 2x2 = x2

Solving for variable 'x'.

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

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

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


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

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 = {0, 7}

See similar equations:

| 5=-5+6y+17 | | 7x+12=-2+2x+19 | | X^2-6X=14 | | 12(4x-1)=4(12x+7) | | 1.4x+0.8=-1.3 | | 6x-9x=6(-2)+x | | 4x^2-6=0 | | 3+10p-2=7p+22-4p | | 3x^2-22x=-2x^2-5x-14 | | 4x+5(3+x)=87 | | 5x^2+8x-5=7-3x | | 12y=15y^2 | | 6x+14=4x+15 | | -4x+9=33 | | 3y-9=3(y-3) | | 8x^3+9x^2-14x=0 | | M+6.74+.7m=-3.8 | | (x-5)(x+6)=12 | | 7-6x=3(5-2x) | | 8x^2-12x-56=0 | | 0=5x^2+20x-3 | | 3x^2-x-24=0 | | .25a-.4=.7-.83a | | 9x-8-5x=12 | | y=5x^2+20x-3 | | 6c-16=12+12c | | x^2-48=-2x | | 9.36k-2.021=8.89k | | -1x(-87)=87 | | -2x+14=-2(x-7) | | 8+4(2x-3)=5-(x+3) | | 5(x-4)=3 |

Equations solver categories