x^2+x^2+8x+16=400

Simple and best practice solution for x^2+x^2+8x+16=400 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^2+8x+16=400 equation:


Simplifying
x2 + x2 + 8x + 16 = 400

Reorder the terms:
16 + 8x + x2 + x2 = 400

Combine like terms: x2 + x2 = 2x2
16 + 8x + 2x2 = 400

Solving
16 + 8x + 2x2 = 400

Solving for variable 'x'.

Reorder the terms:
16 + -400 + 8x + 2x2 = 400 + -400

Combine like terms: 16 + -400 = -384
-384 + 8x + 2x2 = 400 + -400

Combine like terms: 400 + -400 = 0
-384 + 8x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-192 + 4x + x2) = 0

Factor a trinomial.
2((-16 + -1x)(12 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-16 + -1x)' equal to zero and attempt to solve: Simplifying -16 + -1x = 0 Solving -16 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + -1x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -1x = 0 + 16 -1x = 0 + 16 Combine like terms: 0 + 16 = 16 -1x = 16 Divide each side by '-1'. x = -16 Simplifying x = -16

Subproblem 2

Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12

Solution

x = {-16, 12}

See similar equations:

| 7x=15-30x(2) | | 6x-4x=20-5x+8 | | h+2=14-h | | 8x-47=-9(x+9) | | 7z+5y=18 | | 7log(2x+14)=14 | | F(0)=x^2-3x-28 | | 8y+32=7y+38 | | 15=-3m | | -14=4(n-5)-n | | 9x-2d=384 | | 1/3b=30 | | 1.3=3y+11.1 | | 5(x-2)+3(x+4)=8 | | 8y-5(y+6)=-18 | | -4x+6+5x=-4+20 | | a^2-8a-68=9 | | .5f-2=.06f | | n^2+2n-143=0 | | 12x-4x-18=3x+16-5 | | 3(y-3)-4y=-18 | | ((y+2)+z)((y+2)-z)=0 | | 4+0.50x+3.50=22.50 | | 1x=0.8333333 | | 6n-4-8n-10=28 | | v^2-14v+22=5 | | n^2+n-225=0 | | 4y^3+3y^2-16y-12= | | 1.7x=-2.38 | | 12d+60=30 | | -32x+48=-26-32x | | 8y-16x=4 |

Equations solver categories