(15+2x)(11+2x)=525

Simple and best practice solution for (15+2x)(11+2x)=525 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 (15+2x)(11+2x)=525 equation: 


Simplifying
(15 + 2x)(11 + 2x) = 525

Multiply (15 + 2x) * (11 + 2x)
(15(11 + 2x) + 2x * (11 + 2x)) = 525
((11 * 15 + 2x * 15) + 2x * (11 + 2x)) = 525
((165 + 30x) + 2x * (11 + 2x)) = 525
(165 + 30x + (11 * 2x + 2x * 2x)) = 525
(165 + 30x + (22x + 4x2)) = 525

Combine like terms: 30x + 22x = 52x
(165 + 52x + 4x2) = 525

Solving
165 + 52x + 4x2 = 525

Solving for variable 'x'.

Reorder the terms:
165 + -525 + 52x + 4x2 = 525 + -525

Combine like terms: 165 + -525 = -360
-360 + 52x + 4x2 = 525 + -525

Combine like terms: 525 + -525 = 0
-360 + 52x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(-90 + 13x + x2) = 0

Factor a trinomial.
4((-18 + -1x)(5 + -1x)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(-18 + -1x)' equal to zero and attempt to solve:

Simplifying
-18 + -1x = 0

Solving
-18 + -1x = 0

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

Add '18' to each side of the equation.
-18 + 18 + -1x = 0 + 18

Combine like terms: -18 + 18 = 0
0 + -1x = 0 + 18
-1x = 0 + 18

Combine like terms: 0 + 18 = 18
-1x = 18

Divide each side by '-1'.
x = -18

Simplifying
x = -18

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-18, 5}

See similar equations:

| 2x+14=36-8x | | 98-4x=3x+21 | | 5+r-6-r=13 | | 6x-(-8)=50 | | 6(2.25k-5.5)=10.5-k | | 6x=x-3(21) | | -4.6-1m+2m=3.4 | | n^2-2n+72= | | -4.6-m+2m=3.4 | | n^2-2n+72=0 | | 47-5x=22x+17 | | 6-7x=29-14x | | -5(3b+3)+(16b-8)=0 | | 3x+17=13x-3 | | -126+7x=8x+24 | | 10x-17=93 | | 42=42y | | 2w+2n=48 | | -126-7x=29-14x | | 2z+4=5z+8 | | 125-3x=24x+20 | | 3k^2-12=0 | | 10-8x=60-22x | | 5n^2-13=-n | | v^2-4r+8=5r | | 6+6(2t-1)=4(x-5)-2 | | 35+10x=85 | | 2x+3=4x+7 | | 8x-13=67 | | 3.6q-4.4q-2.8q=-.2q-4.3 | | 13x-182=4x-11 | | -7(-7)=m |

Equations solver categories