(x+3)(x-5)=4x-15

Simple and best practice solution for (x+3)(x-5)=4x-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)=4x-15 equation: 


Simplifying
(x + 3)(x + -5) = 4x + -15

Reorder the terms:
(3 + x)(x + -5) = 4x + -15

Reorder the terms:
(3 + x)(-5 + x) = 4x + -15

Multiply (3 + x) * (-5 + x)
(3(-5 + x) + x(-5 + x)) = 4x + -15
((-5 * 3 + x * 3) + x(-5 + x)) = 4x + -15
((-15 + 3x) + x(-5 + x)) = 4x + -15
(-15 + 3x + (-5 * x + x * x)) = 4x + -15
(-15 + 3x + (-5x + x2)) = 4x + -15

Combine like terms: 3x + -5x = -2x
(-15 + -2x + x2) = 4x + -15

Reorder the terms:
-15 + -2x + x2 = -15 + 4x

Add '15' to each side of the equation.
-15 + -2x + 15 + x2 = -15 + 15 + 4x

Reorder the terms:
-15 + 15 + -2x + x2 = -15 + 15 + 4x

Combine like terms: -15 + 15 = 0
0 + -2x + x2 = -15 + 15 + 4x
-2x + x2 = -15 + 15 + 4x

Combine like terms: -15 + 15 = 0
-2x + x2 = 0 + 4x
-2x + x2 = 4x

Solving
-2x + x2 = 4x

Solving for variable 'x'.

Reorder the terms:
-2x + -4x + x2 = 4x + -4x

Combine like terms: -2x + -4x = -6x
-6x + x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
-6x + x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-6 + 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 '(-6 + x)' equal to zero and attempt to solve:

Simplifying
-6 + x = 0

Solving
-6 + x = 0

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

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

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

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

Simplifying
x = 6
Solution
x = {0, 6}

See similar equations:

| 20-3h=-9(7h-6) | | 11x-32x=22x+34 | | x^2+2x^3+5x-3x^4=0 | | .6/×=8/1.5 | | Nsquared=2 | | log(x)(1/36)=-2 | | 3/5/×=8/1.5 | | 5x-6=y+2 | | Cot(x)=-0.5 | | 12+3946= | | x(x-5)=300 | | sin(8x)=0.25 | | n(-3+7n)=972 | | 45x+10x+30=38x+13x+66 | | 5e^3x=29 | | -19=-3+4r | | r^3-12r^2+47r-60=0 | | 27x^2-729=0 | | 2(9x-1)=6x-2 | | 12x^3+6x^2-36x=0 | | 4xy+2x^2y= | | 7*2-x=14 | | (4/9)x(-1/5) | | 4+5n=-6 | | -1r/1 | | z^3+4z^2-8=0 | | 1070=0.30x | | 3m+3=-3(m-1) | | X(2x-2)=60 | | -8=-5+3k | | 2x+3e=800 | | 12k+15=k+49 |

Equations solver categories