-51+180x=5-56x^2

Simple and best practice solution for -51+180x=5-56x^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 -51+180x=5-56x^2 equation:


Simplifying
-51 + 180x = 5 + -56x2

Solving
-51 + 180x = 5 + -56x2

Solving for variable 'x'.

Reorder the terms:
-51 + -5 + 180x + 56x2 = 5 + -56x2 + -5 + 56x2

Combine like terms: -51 + -5 = -56
-56 + 180x + 56x2 = 5 + -56x2 + -5 + 56x2

Reorder the terms:
-56 + 180x + 56x2 = 5 + -5 + -56x2 + 56x2

Combine like terms: 5 + -5 = 0
-56 + 180x + 56x2 = 0 + -56x2 + 56x2
-56 + 180x + 56x2 = -56x2 + 56x2

Combine like terms: -56x2 + 56x2 = 0
-56 + 180x + 56x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-14 + 45x + 14x2) = 0

Factor a trinomial.
4((-7 + -2x)(2 + -7x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-7 + -2x)' equal to zero and attempt to solve:

Simplifying
-7 + -2x = 0

Solving
-7 + -2x = 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 + -2x = 0 + 7

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

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

Divide each side by '-2'.
x = -3.5

Simplifying
x = -3.5

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

Simplifying
2 + -7x = 0

Solving
2 + -7x = 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 + -7x = 0 + -2

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

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

Divide each side by '-7'.
x = 0.2857142857

Simplifying
x = 0.2857142857
Solution
x = {-3.5, 0.2857142857}

See similar equations:

| 9*11=-80 | | 4x+32=-10x+10 | | 24=22x-3x^2 | | 5x-3=-4x | | 7x^2+98=-63x | | 70+60+x=200 | | -13+5+8m-1=1+6m | | 0=56+27n-5n^2 | | x^3-4x-9=0 | | x^2-16-225=0 | | -18y=162 | | -9+7x=5(8x-3)+6 | | 4=-3a^2+13a | | 40x^2+8=48x | | (a^2+b^2+3)(ab-b)= | | 1x*2-1=1 | | 10x+y=-x^2+2 | | -9+7x=40x-15+6 | | 98n^2+301n+145=5 | | -18+y=2+-1y | | 49w^2-25=0factoring | | -28y=162 | | 9(X+3)+5X-3(5+3X)=52 | | q+[-10]=-25 | | 4(8+6m)=-40+6m | | 5(r-11r+30)=0 | | -3m-2=-11 | | -3(1-6n)+5=-88 | | -x+y=18 | | 7x+4y=-1 | | 11-5n=-2(-8n+5) | | 6k+8m=20km |

Equations solver categories