6x^2+3x=15-6x^2

Simple and best practice solution for 6x^2+3x=15-6x^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 6x^2+3x=15-6x^2 equation: 


Simplifying
6x2 + 3x = 15 + -6x2

Reorder the terms:
3x + 6x2 = 15 + -6x2

Solving
3x + 6x2 = 15 + -6x2

Solving for variable 'x'.

Reorder the terms:
-15 + 3x + 6x2 + 6x2 = 15 + -6x2 + -15 + 6x2

Combine like terms: 6x2 + 6x2 = 12x2
-15 + 3x + 12x2 = 15 + -6x2 + -15 + 6x2

Reorder the terms:
-15 + 3x + 12x2 = 15 + -15 + -6x2 + 6x2

Combine like terms: 15 + -15 = 0
-15 + 3x + 12x2 = 0 + -6x2 + 6x2
-15 + 3x + 12x2 = -6x2 + 6x2

Combine like terms: -6x2 + 6x2 = 0
-15 + 3x + 12x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-5 + x + 4x2) = 0

Factor a trinomial.
3((-5 + -4x)(1 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-5 + -4x)' equal to zero and attempt to solve:

Simplifying
-5 + -4x = 0

Solving
-5 + -4x = 0

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

Add '5' to each side of the equation.
-5 + 5 + -4x = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -4x = 0 + 5
-4x = 0 + 5

Combine like terms: 0 + 5 = 5
-4x = 5

Divide each side by '-4'.
x = -1.25

Simplifying
x = -1.25

Subproblem 2
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
Solution
x = {-1.25, 1}

See similar equations:

| 4(3+5w)=-8 | | X+(x+1)+(x+2)=53+x | | 5j+-11j+5j=4 | | 4(2z-4)=7(z-3) | | -(y*2-2)=y*2-5-2y*2 | | 8u=8u+35 | | x^2+12x+32=4 | | 4n-12=4 | | (x+y)+(x+z)= | | 1267x=42 | | 0.38-7.45= | | 7.45-0.38= | | X*.5=2+(x+2) | | 2(7-2y)+4y=14 | | 6(4a+5)= | | 4(5x-1)=64 | | -6t+-21=-33 | | 5f-45=-65 | | 0.6(z-2)=0.4(z+7) | | logx=4.5 | | 8p+9=11+7p | | -10s+20=-23 | | -20-17q=-17q-20 | | 4t+8=4 | | -10-3h-20=2-h | | 2x+1+3x=56 | | x^4-9x^2+36=0 | | (x^2)-(1.5x)=y | | e^2x=5.5 | | (x^2)-(1.5x)=0 | | 12f-45=-54 | | 3-5z-9=-7z+10 |

Equations solver categories