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

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


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

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

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

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

Combine like terms: -6x + 5x = -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:

| -16=5b+3b | | x-3.7=5.9 | | 4x+8x-63=42-9x | | 18x-27=8x | | 2+8.95p=23.65 | | -5=t-16 | | 3(4z)=-14+12z | | -5(x+4)=-4-7x | | 4c-5-10c-18c+7+12c= | | 5x+(3x+20)=180 | | 8x+8=11x+4-3x+4 | | -8X-3=-5X+6 | | 0.4x+1.3=1.7 | | 4w+w=30 | | 8x+5x-34=51-4x | | 2n=(n+18) | | X-2(x+3)+4(x-3)=12 | | 3a+b-7=0 | | -5(c+4)=-4-7x | | 2(x+4)+3(2x-6)+10=40 | | 33-24r=2(-4-12r) | | ((7m)(7m))+((bm)(bm))=(20m)(20m) | | 6n-12=-3(2n-4) | | -8(1+3k)-6=15+5k | | -4x+10+5x=5+x+5 | | 49=2x+6x+9 | | x+7.1=8.9 | | 10n=7+9n | | -2(4g-3)=36 | | -8n+3(1+5n)=-6-14 | | 2m+5=5(m-7)+3 | | 4n^2-31n-8=0 |

Equations solver categories