x(x-2)=4-x^2

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


Simplifying
x(x + -2) = 4 + -1x2

Reorder the terms:
x(-2 + x) = 4 + -1x2
(-2 * x + x * x) = 4 + -1x2
(-2x + x2) = 4 + -1x2

Solving
-2x + x2 = 4 + -1x2

Solving for variable 'x'.

Reorder the terms:
-4 + -2x + x2 + x2 = 4 + -1x2 + -4 + x2

Combine like terms: x2 + x2 = 2x2
-4 + -2x + 2x2 = 4 + -1x2 + -4 + x2

Reorder the terms:
-4 + -2x + 2x2 = 4 + -4 + -1x2 + x2

Combine like terms: 4 + -4 = 0
-4 + -2x + 2x2 = 0 + -1x2 + x2
-4 + -2x + 2x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-4 + -2x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-2 + -1x + x2) = 0

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

Ignore the factor 2.

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

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

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

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

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

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

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

Simplifying
x = -1

Subproblem 2
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
Solution
x = {-1, 2}

See similar equations:

| 4u+16=6(u+6) | | x2y3/x4y6 | | 0.3Xwhat=300 | | (5+9)(4+9)= | | x^5+3x^3-2x^2=0 | | 20-48=3(x-3)-7 | | 3/7b=5/6 | | 7x+6x+2+9=8x+5+4x | | 5+999999= | | y-6=4(0+5) | | 7p+9q= | | 105/7 | | (5/6)-(4/15) | | p=7936.92/.09(3) | | m(3-x)=5-7 | | 5/6-4/15 | | 28+m=50 | | F(x)=x^4-2x^3-3x^2+10x | | p=7936.92(.09)(3) | | 8j+8+4j+6= | | 4x+6i=12+yi | | y^6-y=0 | | x^4-15x^3-10x^2+60x+72=0 | | (-4x^2)+(40x)+25=20 | | 3+4i=x+4i | | 27x^6/25= | | 3+i=x+4i | | 2(2x-4)+2x=40 | | 4/2x-1=2/x | | -4=7(0-6) | | 55.6x=171-1.4x | | m+3m+7m+7= |

Equations solver categories