(2x+11)(2x+5)=40

Simple and best practice solution for (2x+11)(2x+5)=40 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 (2x+11)(2x+5)=40 equation: 


Simplifying
(2x + 11)(2x + 5) = 40

Reorder the terms:
(11 + 2x)(2x + 5) = 40

Reorder the terms:
(11 + 2x)(5 + 2x) = 40

Multiply (11 + 2x) * (5 + 2x)
(11(5 + 2x) + 2x * (5 + 2x)) = 40
((5 * 11 + 2x * 11) + 2x * (5 + 2x)) = 40
((55 + 22x) + 2x * (5 + 2x)) = 40
(55 + 22x + (5 * 2x + 2x * 2x)) = 40
(55 + 22x + (10x + 4x2)) = 40

Combine like terms: 22x + 10x = 32x
(55 + 32x + 4x2) = 40

Solving
55 + 32x + 4x2 = 40

Solving for variable 'x'.

Reorder the terms:
55 + -40 + 32x + 4x2 = 40 + -40

Combine like terms: 55 + -40 = 15
15 + 32x + 4x2 = 40 + -40

Combine like terms: 40 + -40 = 0
15 + 32x + 4x2 = 0

Factor a trinomial.
(15 + 2x)(1 + 2x) = 0


Subproblem 1
Set the factor '(15 + 2x)' equal to zero and attempt to solve:

Simplifying
15 + 2x = 0

Solving
15 + 2x = 0

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

Add '-15' to each side of the equation.
15 + -15 + 2x = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 2x = 0 + -15
2x = 0 + -15

Combine like terms: 0 + -15 = -15
2x = -15

Divide each side by '2'.
x = -7.5

Simplifying
x = -7.5

Subproblem 2
Set the factor '(1 + 2x)' equal to zero and attempt to solve:

Simplifying
1 + 2x = 0

Solving
1 + 2x = 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 + 2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 2x = 0 + -1
2x = 0 + -1

Combine like terms: 0 + -1 = -1
2x = -1

Divide each side by '2'.
x = -0.5

Simplifying
x = -0.5
Solution
x = {-7.5, -0.5}

See similar equations:

| 2.5x+3.5x=11.9x | | 3(2n+4)-3(3n+6)= | | 40+15+.25p=45+.35p | | 2(y-5)=4(y+2)-10 | | 4c-8d+cx-3dx= | | 3x^2+33x-126=0 | | -7s+4=7s-3 | | 16.8=21.6+q | | 157/3.14= | | 90x^2=6-12x | | 3/7-11=4/7w | | 0.95+0.05(10-t)=0.51(10) | | 13-5(2x-9)=-(-6x+10)+5 | | A+267A=88 | | 4y-1+y+21=7y+20-4y | | (2x+9)(3x-11)=-8 | | -8x-4x=-5 | | (-2/9)x^(-5/3)=0 | | 5(h)=20 | | 5(-4)+3(-2)-4= | | 11-6p-14=8p+37-4p | | A+88A=267 | | 3n+2=7n+6 | | 4+4y-3=8y+1-3y | | 5/p=4/13 | | 180=(2x+41)+(6x-3) | | 36+8t=9t+4 | | 63x^2+4x-99=0 | | 43-3g=g+33 | | 36+8t=99t+4 | | 60+50.45p=57.95 | | 3(a-4)=30 |

Equations solver categories