x(5x+11)=2x^2-8x+72

Simple and best practice solution for x(5x+11)=2x^2-8x+72 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 x(5x+11)=2x^2-8x+72 equation:


Simplifying
x(5x + 11) = 2x2 + -8x + 72

Reorder the terms:
x(11 + 5x) = 2x2 + -8x + 72
(11 * x + 5x * x) = 2x2 + -8x + 72
(11x + 5x2) = 2x2 + -8x + 72

Reorder the terms:
11x + 5x2 = 72 + -8x + 2x2

Solving
11x + 5x2 = 72 + -8x + 2x2

Solving for variable 'x'.

Reorder the terms:
-72 + 11x + 8x + 5x2 + -2x2 = 72 + -8x + 2x2 + -72 + 8x + -2x2

Combine like terms: 11x + 8x = 19x
-72 + 19x + 5x2 + -2x2 = 72 + -8x + 2x2 + -72 + 8x + -2x2

Combine like terms: 5x2 + -2x2 = 3x2
-72 + 19x + 3x2 = 72 + -8x + 2x2 + -72 + 8x + -2x2

Reorder the terms:
-72 + 19x + 3x2 = 72 + -72 + -8x + 8x + 2x2 + -2x2

Combine like terms: 72 + -72 = 0
-72 + 19x + 3x2 = 0 + -8x + 8x + 2x2 + -2x2
-72 + 19x + 3x2 = -8x + 8x + 2x2 + -2x2

Combine like terms: -8x + 8x = 0
-72 + 19x + 3x2 = 0 + 2x2 + -2x2
-72 + 19x + 3x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-72 + 19x + 3x2 = 0

Factor a trinomial.
(-9 + -1x)(8 + -3x) = 0

Subproblem 1

Set the factor '(-9 + -1x)' equal to zero and attempt to solve: Simplifying -9 + -1x = 0 Solving -9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1x = 0 + 9 -1x = 0 + 9 Combine like terms: 0 + 9 = 9 -1x = 9 Divide each side by '-1'. x = -9 Simplifying x = -9

Subproblem 2

Set the factor '(8 + -3x)' equal to zero and attempt to solve: Simplifying 8 + -3x = 0 Solving 8 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3x = 0 + -8 -3x = 0 + -8 Combine like terms: 0 + -8 = -8 -3x = -8 Divide each side by '-3'. x = 2.666666667 Simplifying x = 2.666666667

Solution

x = {-9, 2.666666667}

See similar equations:

| 600=10s | | .10x+.45(30)=22.5 | | 7(x+5)+2=37 | | x-.02x=20 | | 4x-15/2+x+3/10 | | 7x(x+5)+2=37 | | 3+16+(-6-(-7))= | | 4u+20=-u | | 10/x=11/3x-3 | | -9z+13=7z-1 | | .5x-3=0.5 | | 1/5(x-4)=4x-3(x-1)+33/5 | | 5y+35=5-x | | .09x-4.2=.3 | | 9y/8y=39 | | 9y/8y | | 8v+10=5z-17 | | 5y+35=5-xfory | | 3x^2/3-14x^1/3-5=0 | | 6z+4=-20 | | 2(2y-4)+5y=1 | | (8+1/x)/1-1/x | | 2r^2=-49+21r | | 5(x+3)/2-7x/3=4(x+8)/5 | | -5(x+7)-2=-37 | | A=M+2/2 | | 4y-8+5y=1 | | 22=-3(23-b)+2(b-2) | | 2r^2+49-21r=0 | | 4x-15/2+x+3/10=-3 | | 7-2(3x+5)-(2x-3)=-5x+3-2x | | 7-2(3x+5)-(2x-4)=-6x+3-2x |

Equations solver categories