3x^2-26x=-5x^2-3x-14

Simple and best practice solution for 3x^2-26x=-5x^2-3x-14 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 3x^2-26x=-5x^2-3x-14 equation: 


Simplifying
3x2 + -26x = -5x2 + -3x + -14

Reorder the terms:
-26x + 3x2 = -5x2 + -3x + -14

Reorder the terms:
-26x + 3x2 = -14 + -3x + -5x2

Solving
-26x + 3x2 = -14 + -3x + -5x2

Solving for variable 'x'.

Reorder the terms:
14 + -26x + 3x + 3x2 + 5x2 = -14 + -3x + -5x2 + 14 + 3x + 5x2

Combine like terms: -26x + 3x = -23x
14 + -23x + 3x2 + 5x2 = -14 + -3x + -5x2 + 14 + 3x + 5x2

Combine like terms: 3x2 + 5x2 = 8x2
14 + -23x + 8x2 = -14 + -3x + -5x2 + 14 + 3x + 5x2

Reorder the terms:
14 + -23x + 8x2 = -14 + 14 + -3x + 3x + -5x2 + 5x2

Combine like terms: -14 + 14 = 0
14 + -23x + 8x2 = 0 + -3x + 3x + -5x2 + 5x2
14 + -23x + 8x2 = -3x + 3x + -5x2 + 5x2

Combine like terms: -3x + 3x = 0
14 + -23x + 8x2 = 0 + -5x2 + 5x2
14 + -23x + 8x2 = -5x2 + 5x2

Combine like terms: -5x2 + 5x2 = 0
14 + -23x + 8x2 = 0

Factor a trinomial.
(7 + -8x)(2 + -1x) = 0


Subproblem 1
Set the factor '(7 + -8x)' equal to zero and attempt to solve:

Simplifying
7 + -8x = 0

Solving
7 + -8x = 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 + -8x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -8x = 0 + -7
-8x = 0 + -7

Combine like terms: 0 + -7 = -7
-8x = -7

Divide each side by '-8'.
x = 0.875

Simplifying
x = 0.875

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 = {0.875, 2}

See similar equations:

| 6y-27=15 | | x+(x*.084)=762 | | X-(-14)=0 | | 12c=c | | -5n=(-80) | | X+4(x-1)=5-4x-18 | | 8(6+2p)+5=165 | | (x-y)=15 | | 2x-4y+8=8 | | -7c=(-56) | | 7pt=c | | -5n^2-5n+210=0 | | K-8/1=0 | | 12c=qt | | 2x+2x+30=150 | | -4+3x+5x=4 | | t+(-9)=5 | | 6c=pt | | 14c=pt | | -1+9v=-73 | | 6y=(-18) | | 8c=qt | | Y-6=(-18) | | log(3)4x+10=log(3)x+1 | | 8pt=c | | 2-7(1-5a)=100 | | 32qt=gal | | 76=4u+8 | | 6w/-2 | | 7X(2x+6)=-28 | | 0=-2(8t+1)(t-3) | | 7-3x+5=7x-8 |

Equations solver categories