2(x-4)(x-4)+x^2=x(x+54)-50x

Simple and best practice solution for 2(x-4)(x-4)+x^2=x(x+54)-50x 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 2(x-4)(x-4)+x^2=x(x+54)-50x equation: 


Simplifying
2(x + -4)(x + -4) + x2 = x(x + 54) + -50x

Reorder the terms:
2(-4 + x)(x + -4) + x2 = x(x + 54) + -50x

Reorder the terms:
2(-4 + x)(-4 + x) + x2 = x(x + 54) + -50x

Multiply (-4 + x) * (-4 + x)
2(-4(-4 + x) + x(-4 + x)) + x2 = x(x + 54) + -50x
2((-4 * -4 + x * -4) + x(-4 + x)) + x2 = x(x + 54) + -50x
2((16 + -4x) + x(-4 + x)) + x2 = x(x + 54) + -50x
2(16 + -4x + (-4 * x + x * x)) + x2 = x(x + 54) + -50x
2(16 + -4x + (-4x + x2)) + x2 = x(x + 54) + -50x

Combine like terms: -4x + -4x = -8x
2(16 + -8x + x2) + x2 = x(x + 54) + -50x
(16 * 2 + -8x * 2 + x2 * 2) + x2 = x(x + 54) + -50x
(32 + -16x + 2x2) + x2 = x(x + 54) + -50x

Combine like terms: 2x2 + x2 = 3x2
32 + -16x + 3x2 = x(x + 54) + -50x

Reorder the terms:
32 + -16x + 3x2 = x(54 + x) + -50x
32 + -16x + 3x2 = (54 * x + x * x) + -50x
32 + -16x + 3x2 = (54x + x2) + -50x

Reorder the terms:
32 + -16x + 3x2 = 54x + -50x + x2

Combine like terms: 54x + -50x = 4x
32 + -16x + 3x2 = 4x + x2

Solving
32 + -16x + 3x2 = 4x + x2

Solving for variable 'x'.

Reorder the terms:
32 + -16x + -4x + 3x2 + -1x2 = 4x + x2 + -4x + -1x2

Combine like terms: -16x + -4x = -20x
32 + -20x + 3x2 + -1x2 = 4x + x2 + -4x + -1x2

Combine like terms: 3x2 + -1x2 = 2x2
32 + -20x + 2x2 = 4x + x2 + -4x + -1x2

Reorder the terms:
32 + -20x + 2x2 = 4x + -4x + x2 + -1x2

Combine like terms: 4x + -4x = 0
32 + -20x + 2x2 = 0 + x2 + -1x2
32 + -20x + 2x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
32 + -20x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(16 + -10x + x2) = 0

Factor a trinomial.
2((2 + -1x)(8 + -1x)) = 0

Ignore the factor 2.

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 '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {2, 8}

See similar equations:

| 0.3x+0.8=-0.7 | | 15x^2+23x+4= | | 4x-y=15 | | 7(x-6.4)=9.8 | | 7x+7.34=5x+10 | | 5t^2+50t+80=0 | | r/9=11 | | 2.1x+5.34=-15.45 | | 5n+5=30 | | m/7=14 | | 4.4x=-29.04 | | 7=b/6 | | 4x^2+28x-24=0 | | k/4=7 | | 7x^2-2x-1=0 | | 8x+y=44 | | 16*12.5*36= | | 5=a/5 | | x-5=1.73 | | z/3=6 | | -6x-y=0 | | -4y=3.76 | | 1.3+m=6.7 | | x+1.8=5.2 | | 4a+2a=42 | | x+2x+6x=180 | | (4t-3)=5 | | 3f=21 | | (x+y)10+3=z | | 2x-8=x+10 | | 4(t+5)-3=(6+5) | | x^2+16x+4=0 |

Equations solver categories