(x+5)(x+3)-(x+5)(2x+7)=0

Simple and best practice solution for (x+5)(x+3)-(x+5)(2x+7)=0 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+3)-(x+5)(2x+7)=0 equation:


Simplifying
(x + 5)(x + 3) + -1(x + 5)(2x + 7) = 0

Reorder the terms:
(5 + x)(x + 3) + -1(x + 5)(2x + 7) = 0

Reorder the terms:
(5 + x)(3 + x) + -1(x + 5)(2x + 7) = 0

Multiply (5 + x) * (3 + x)
(5(3 + x) + x(3 + x)) + -1(x + 5)(2x + 7) = 0
((3 * 5 + x * 5) + x(3 + x)) + -1(x + 5)(2x + 7) = 0
((15 + 5x) + x(3 + x)) + -1(x + 5)(2x + 7) = 0
(15 + 5x + (3 * x + x * x)) + -1(x + 5)(2x + 7) = 0
(15 + 5x + (3x + x2)) + -1(x + 5)(2x + 7) = 0

Combine like terms: 5x + 3x = 8x
(15 + 8x + x2) + -1(x + 5)(2x + 7) = 0

Reorder the terms:
15 + 8x + x2 + -1(5 + x)(2x + 7) = 0

Reorder the terms:
15 + 8x + x2 + -1(5 + x)(7 + 2x) = 0

Multiply (5 + x) * (7 + 2x)
15 + 8x + x2 + -1(5(7 + 2x) + x(7 + 2x)) = 0
15 + 8x + x2 + -1((7 * 5 + 2x * 5) + x(7 + 2x)) = 0
15 + 8x + x2 + -1((35 + 10x) + x(7 + 2x)) = 0
15 + 8x + x2 + -1(35 + 10x + (7 * x + 2x * x)) = 0
15 + 8x + x2 + -1(35 + 10x + (7x + 2x2)) = 0

Combine like terms: 10x + 7x = 17x
15 + 8x + x2 + -1(35 + 17x + 2x2) = 0
15 + 8x + x2 + (35 * -1 + 17x * -1 + 2x2 * -1) = 0
15 + 8x + x2 + (-35 + -17x + -2x2) = 0

Reorder the terms:
15 + -35 + 8x + -17x + x2 + -2x2 = 0

Combine like terms: 15 + -35 = -20
-20 + 8x + -17x + x2 + -2x2 = 0

Combine like terms: 8x + -17x = -9x
-20 + -9x + x2 + -2x2 = 0

Combine like terms: x2 + -2x2 = -1x2
-20 + -9x + -1x2 = 0

Solving
-20 + -9x + -1x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(20 + 9x + x2) = 0

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

Ignore the factor -1.

Subproblem 1

Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 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 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5

Subproblem 2

Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4

Solution

x = {-5, -4}

See similar equations:

| r^3+2*r+2=0 | | 10y-z+w=10 | | 136-2x=25x+22 | | z+49=64 | | 180=-40-8x+21x | | 9x-10=4x*5 | | 8n=3n+54 | | k*(k+2)=5k | | 28a+8= | | 5x-5000=145000 | | 11x-4=84 | | 3x+59=83 | | x^2+2x+3=-x+3 | | 7d+7=4d+25 | | 4+5x-1*12=6 | | 4(x-5)=1.2 | | 4-5x-1*12=6 | | 6(a+8)=96.6 | | 54.6=6c-3 | | 5x-1*12=6 | | 2e-3=16.6 | | 8p=45.6 | | 3x^2-3x-36=0 | | 2(x-6)=6 | | 2x-1=2*6 | | 7(a+1)=21 | | 18=3c-3 | | 2e-5=9 | | 13x=15-2x+15x | | 5z^2-4z+1=0 | | 8p=48 | | 2x+8=4-6x |

Equations solver categories