4x^2+8x-13=17-11x

Simple and best practice solution for 4x^2+8x-13=17-11x 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 4x^2+8x-13=17-11x equation: 


Simplifying
4x2 + 8x + -13 = 17 + -11x

Reorder the terms:
-13 + 8x + 4x2 = 17 + -11x

Solving
-13 + 8x + 4x2 = 17 + -11x

Solving for variable 'x'.

Reorder the terms:
-13 + -17 + 8x + 11x + 4x2 = 17 + -11x + -17 + 11x

Combine like terms: -13 + -17 = -30
-30 + 8x + 11x + 4x2 = 17 + -11x + -17 + 11x

Combine like terms: 8x + 11x = 19x
-30 + 19x + 4x2 = 17 + -11x + -17 + 11x

Reorder the terms:
-30 + 19x + 4x2 = 17 + -17 + -11x + 11x

Combine like terms: 17 + -17 = 0
-30 + 19x + 4x2 = 0 + -11x + 11x
-30 + 19x + 4x2 = -11x + 11x

Combine like terms: -11x + 11x = 0
-30 + 19x + 4x2 = 0

Factor a trinomial.
(-6 + -1x)(5 + -4x) = 0


Subproblem 1
Set the factor '(-6 + -1x)' equal to zero and attempt to solve:

Simplifying
-6 + -1x = 0

Solving
-6 + -1x = 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 + -1x = 0 + 6

Combine like terms: -6 + 6 = 0
0 + -1x = 0 + 6
-1x = 0 + 6

Combine like terms: 0 + 6 = 6
-1x = 6

Divide each side by '-1'.
x = -6

Simplifying
x = -6

Subproblem 2
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
Solution
x = {-6, 1.25}

See similar equations:

| b^2+25b+150= | | -13x+6+6x^2= | | -7=1+2.3n | | x^2+39x+140= | | -1+2x=13 | | x^2+45x+120= | | 2J=9+11 | | P+6=-2 | | w-2d=6 | | x^2-43x+120= | | 4x^3+19x^2+12x= | | x^2-52x+100= | | 0.7=P*0.75 | | w-2s=6 | | h^2+11h+24= | | 0=7v-37 | | 8.92n+3.65=-2.73n+6.36 | | 4x+3=-29 | | m^2+11m+18= | | x^2-30x+60= | | 8.92n+3.65=-2n+6.36 | | -10=9m-13-7m | | 8.92+3.65=-2n+636 | | x^2-26x+48= | | -5x+3=-12 | | 4h-h=2h+15 | | 3(x+y)+5=23 | | y=(4x+1)(x-8) | | x^2-23x+60= | | 5t-3= | | -12y-21=11y+32 | | 6y+4-8y-10=0 |

Equations solver categories