(x-3)(x+5)=2x-7x-15

Simple and best practice solution for (x-3)(x+5)=2x-7x-15 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-3)(x+5)=2x-7x-15 equation:


Simplifying
(x + -3)(x + 5) = 2x + -7x + -15

Reorder the terms:
(-3 + x)(x + 5) = 2x + -7x + -15

Reorder the terms:
(-3 + x)(5 + x) = 2x + -7x + -15

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

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

Reorder the terms:
-15 + 2x + x2 = -15 + 2x + -7x

Combine like terms: 2x + -7x = -5x
-15 + 2x + x2 = -15 + -5x

Add '15' to each side of the equation.
-15 + 2x + 15 + x2 = -15 + 15 + -5x

Reorder the terms:
-15 + 15 + 2x + x2 = -15 + 15 + -5x

Combine like terms: -15 + 15 = 0
0 + 2x + x2 = -15 + 15 + -5x
2x + x2 = -15 + 15 + -5x

Combine like terms: -15 + 15 = 0
2x + x2 = 0 + -5x
2x + x2 = -5x

Solving
2x + x2 = -5x

Solving for variable 'x'.

Reorder the terms:
2x + 5x + x2 = -5x + 5x

Combine like terms: 2x + 5x = 7x
7x + x2 = -5x + 5x

Combine like terms: -5x + 5x = 0
7x + x2 = 0

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:

| 14x-7=5+10x | | 7q-9=11q+15 | | h-(-22)=11 | | (x+2)(x+3)=2x+5x+6 | | -112=7(8+6x) | | 5-w=43 | | V=AQS | | 2x+3+4x-2= | | x-3=10/3 | | 2(3m+5)-7=-15 | | 22x-8x-12=39-3x | | 72n^2+2=0 | | x-3=10*3 | | X^4+4x-37=0 | | 3e+18=2e+5 | | 8y+2+9y=7+17y-3 | | 12x-4x+3=35 | | -5b-10=625 | | 12x-4x+3=3.5 | | 5(9)+9y=45 | | X^3-24x-3330=0 | | 8m+2+4m=8m+3 | | -15f-30=60 | | 6(9-6x-6x)+9(7x+7)=27 | | f(a+2)=2x^2-x-9 | | 2x+6x+5=69 | | 3.2x-6.5=1.6(2x-3) | | a=le | | -9a-[2(1+3a)+6]=5a | | 2x^2+17x+33=0 | | -15f=120 | | -15=120 |

Equations solver categories