(x+5)(x+2)=10

Simple and best practice solution for (x+5)(x+2)=10 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+5)(x+2)=10 equation: 


Simplifying
(x + 5)(x + 2) = 10

Reorder the terms:
(5 + x)(x + 2) = 10

Reorder the terms:
(5 + x)(2 + x) = 10

Multiply (5 + x) * (2 + x)
(5(2 + x) + x(2 + x)) = 10
((2 * 5 + x * 5) + x(2 + x)) = 10
((10 + 5x) + x(2 + x)) = 10
(10 + 5x + (2 * x + x * x)) = 10
(10 + 5x + (2x + x2)) = 10

Combine like terms: 5x + 2x = 7x
(10 + 7x + x2) = 10

Add '-10' to each side of the equation.
10 + 7x + -10 + x2 = 10 + -10

Reorder the terms:
10 + -10 + 7x + x2 = 10 + -10

Combine like terms: 10 + -10 = 0
0 + 7x + x2 = 10 + -10
7x + x2 = 10 + -10

Combine like terms: 10 + -10 = 0
7x + x2 = 0

Solving
7x + x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(7 + x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(7 + x)' equal to zero and attempt to solve:

Simplifying
7 + x = 0

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

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

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

Simplifying
x = -7
Solution
x = {0, -7}

See similar equations:

| -168=4(7x-7) | | 3y-8x=-6 | | 20/4=x/14x= | | 2(24)-y= | | 9n=8n+4 | | z=15*45+-1y+15*y | | 8x^7-2x=y | | 3+4x-14=15-5d-4d | | -32=8(x-9) | | 180=2(24)-y | | 4x-16/11x-22 | | z=15x+15y | | 21/27 | | .75a(5a-3)=3/8 | | 2x-24= | | 4n+n=18 | | 80=40/x² | | -5g=3g-24 | | -8(n+4)=32 | | 396/27 | | 32+12= | | -72/(-8)= | | 2.25-3z=.375-4z | | -18.50=-10x | | 33=3z | | 2x-18=4x+8 | | 6+9x=84 | | 180=2x-y | | -8+log[3]5x=-9 | | h+20=35-4x | | 16x-11y=153 | | y/48-7/8 |

Equations solver categories