(2x+5)(3x+8)=176

Simple and best practice solution for (2x+5)(3x+8)=176 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+5)(3x+8)=176 equation:


Simplifying
(2x + 5)(3x + 8) = 176

Reorder the terms:
(5 + 2x)(3x + 8) = 176

Reorder the terms:
(5 + 2x)(8 + 3x) = 176

Multiply (5 + 2x) * (8 + 3x)
(5(8 + 3x) + 2x * (8 + 3x)) = 176
((8 * 5 + 3x * 5) + 2x * (8 + 3x)) = 176
((40 + 15x) + 2x * (8 + 3x)) = 176
(40 + 15x + (8 * 2x + 3x * 2x)) = 176
(40 + 15x + (16x + 6x2)) = 176

Combine like terms: 15x + 16x = 31x
(40 + 31x + 6x2) = 176

Solving
40 + 31x + 6x2 = 176

Solving for variable 'x'.

Reorder the terms:
40 + -176 + 31x + 6x2 = 176 + -176

Combine like terms: 40 + -176 = -136
-136 + 31x + 6x2 = 176 + -176

Combine like terms: 176 + -176 = 0
-136 + 31x + 6x2 = 0

Factor a trinomial.
(-8 + -1x)(17 + -6x) = 0


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

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 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 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

Subproblem 2
Set the factor '(17 + -6x)' equal to zero and attempt to solve:

Simplifying
17 + -6x = 0

Solving
17 + -6x = 0

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

Add '-17' to each side of the equation.
17 + -17 + -6x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -6x = 0 + -17
-6x = 0 + -17

Combine like terms: 0 + -17 = -17
-6x = -17

Divide each side by '-6'.
x = 2.833333333

Simplifying
x = 2.833333333
Solution
x = {-8, 2.833333333}

See similar equations:

| A=9/8(h-63) | | ln(x^7)-ln(x^3)=4 | | 112=13x+3x | | 30x+1=18x+72+7 | | -2n^2+9=-4n^2-4 | | 0=x^2-5x-60 | | 4x-3=117-11x | | -18t-3t+2=5t-6t | | 2(x^1y+5x^2+3xy)= | | 4(3x-2)=15x+22 | | 3x^2=-4x-4+2x^2 | | 113x=121 | | x/2(x+2)^2+14x | | (69-10)-(37-8)= | | 3x+11=-8 | | 6x+9=-79-8x | | 14b,=-56 | | 9x+7=10-3x | | y=-2/3x-2 | | 1/4x+2/3x=1/6 | | 2(x-5)=3(x+8) | | 2-3(x+2)= | | 10x+4=11x-8 | | -6x-13x=-3 | | 5p+12.5=62.50 | | -16x^6+8x^5+4x^4=8.94427191 | | -1/5x+10=-x+2 | | 3(x-5)=3x+7 | | 7a^2-42a=0 | | 14=-x-8 | | 1.1=2x+1/2 | | 7x-12=7x+3 |

Equations solver categories