5x^2+3x-15=27-26x

Simple and best practice solution for 5x^2+3x-15=27-26x 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 5x^2+3x-15=27-26x equation: 


Simplifying
5x2 + 3x + -15 = 27 + -26x

Reorder the terms:
-15 + 3x + 5x2 = 27 + -26x

Solving
-15 + 3x + 5x2 = 27 + -26x

Solving for variable 'x'.

Reorder the terms:
-15 + -27 + 3x + 26x + 5x2 = 27 + -26x + -27 + 26x

Combine like terms: -15 + -27 = -42
-42 + 3x + 26x + 5x2 = 27 + -26x + -27 + 26x

Combine like terms: 3x + 26x = 29x
-42 + 29x + 5x2 = 27 + -26x + -27 + 26x

Reorder the terms:
-42 + 29x + 5x2 = 27 + -27 + -26x + 26x

Combine like terms: 27 + -27 = 0
-42 + 29x + 5x2 = 0 + -26x + 26x
-42 + 29x + 5x2 = -26x + 26x

Combine like terms: -26x + 26x = 0
-42 + 29x + 5x2 = 0

Factor a trinomial.
(-7 + -1x)(6 + -5x) = 0


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

Simplifying
-7 + -1x = 0

Solving
-7 + -1x = 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 + -1x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1x = 0 + 7
-1x = 0 + 7

Combine like terms: 0 + 7 = 7
-1x = 7

Divide each side by '-1'.
x = -7

Simplifying
x = -7

Subproblem 2
Set the factor '(6 + -5x)' equal to zero and attempt to solve:

Simplifying
6 + -5x = 0

Solving
6 + -5x = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5x = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5x = 0 + -6
-5x = 0 + -6

Combine like terms: 0 + -6 = -6
-5x = -6

Divide each side by '-5'.
x = 1.2

Simplifying
x = 1.2
Solution
x = {-7, 1.2}

See similar equations:

| 8-4n+7-8n= | | 9-2(-13)=35 | | -10x+14=-2+10 | | 4p-2-10p= | | 9y/10=6 | | -10x+14=-2+70 | | t^2-3tz-18z^2= | | 5m-8=8m+9 | | 6n-3(5+3p)= | | 9b+2(5b-7)-4= | | 6(2n+2)=6(6n+8)+9 | | 7(2+x)=39+5(x-2) | | X-9+4= | | 144=9(n+1) | | X-6+2x-4= | | 10m+6-6= | | 20Q-2Q^2=4+2Q^2 | | 5p-7+3p= | | 4/3x=-1 | | 4q^2-20q+4=0 | | (x+8)(x+8)=25 | | 14/5x=1 | | -3p-2(6-5p)=3(p-2)-14 | | (x+8)(x+8)=-25 | | (x-2)(x-2)=64 | | 12(z+1)-4(2-2)=4(z-4)+3(2-4) | | 2x^2-2+130=0 | | v^2-5v=-4 | | -14-5(x+2)=2x-6(x+3) | | 10(x+1)=0 | | 3x+7x+11=3x+25 | | 8v-24=432 |

Equations solver categories