(2x+5)(x-3)=6

Simple and best practice solution for (2x+5)(x-3)=6 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 (2x+5)(x-3)=6 equation: 


Simplifying
(2x + 5)(x + -3) = 6

Reorder the terms:
(5 + 2x)(x + -3) = 6

Reorder the terms:
(5 + 2x)(-3 + x) = 6

Multiply (5 + 2x) * (-3 + x)
(5(-3 + x) + 2x * (-3 + x)) = 6
((-3 * 5 + x * 5) + 2x * (-3 + x)) = 6
((-15 + 5x) + 2x * (-3 + x)) = 6
(-15 + 5x + (-3 * 2x + x * 2x)) = 6
(-15 + 5x + (-6x + 2x2)) = 6

Combine like terms: 5x + -6x = -1x
(-15 + -1x + 2x2) = 6

Solving
-15 + -1x + 2x2 = 6

Solving for variable 'x'.

Reorder the terms:
-15 + -6 + -1x + 2x2 = 6 + -6

Combine like terms: -15 + -6 = -21
-21 + -1x + 2x2 = 6 + -6

Combine like terms: 6 + -6 = 0
-21 + -1x + 2x2 = 0

Factor a trinomial.
(-3 + -1x)(7 + -2x) = 0


Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve:

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

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

Simplifying
7 + -2x = 0

Solving
7 + -2x = 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 + -2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2x = 0 + -7
-2x = 0 + -7

Combine like terms: 0 + -7 = -7
-2x = -7

Divide each side by '-2'.
x = 3.5

Simplifying
x = 3.5
Solution
x = {-3, 3.5}

See similar equations:

| x^2-20x-16=0 | | x^2+4x-396=0 | | 7n=-28 | | x^2-2x=2x-2 | | -9n=-45 | | 4x^2+14x=0 | | t^2+6t+6=0 | | 7p-7=3p+3 | | 5t+3=2t+15 | | 4a-3=3a+4 | | 26*34=5x | | 2*34=x | | 2*34= | | X^2+12x=-40 | | 4(2x+1)-7=6+5 | | 0.5x^2-3x=2 | | 7(15+6a)=486 | | 21(15+6a)=486 | | 21x(15+6a)=486 | | 5(4x-3)+8=-2 | | 2(x+3)=5(2-x)-2 | | (x-2)+4=6x-17 | | B=P(500-20P)-C(500-20P) | | q=500-20P | | 2x+x=51 | | 2x+6=10-5x-2 | | 34+x=-13 | | 5(x+5)= | | 2b=25-3b | | -14d-16=2(d+8)-12d | | 24d+20=116 | | 5(b+2)=8b-11 |

Equations solver categories