(x-5)(2x+5)=6x+15

Simple and best practice solution for (x-5)(2x+5)=6x+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-5)(2x+5)=6x+15 equation: 


Simplifying
(x + -5)(2x + 5) = 6x + 15

Reorder the terms:
(-5 + x)(2x + 5) = 6x + 15

Reorder the terms:
(-5 + x)(5 + 2x) = 6x + 15

Multiply (-5 + x) * (5 + 2x)
(-5(5 + 2x) + x(5 + 2x)) = 6x + 15
((5 * -5 + 2x * -5) + x(5 + 2x)) = 6x + 15
((-25 + -10x) + x(5 + 2x)) = 6x + 15
(-25 + -10x + (5 * x + 2x * x)) = 6x + 15
(-25 + -10x + (5x + 2x2)) = 6x + 15

Combine like terms: -10x + 5x = -5x
(-25 + -5x + 2x2) = 6x + 15

Reorder the terms:
-25 + -5x + 2x2 = 15 + 6x

Solving
-25 + -5x + 2x2 = 15 + 6x

Solving for variable 'x'.

Reorder the terms:
-25 + -15 + -5x + -6x + 2x2 = 15 + 6x + -15 + -6x

Combine like terms: -25 + -15 = -40
-40 + -5x + -6x + 2x2 = 15 + 6x + -15 + -6x

Combine like terms: -5x + -6x = -11x
-40 + -11x + 2x2 = 15 + 6x + -15 + -6x

Reorder the terms:
-40 + -11x + 2x2 = 15 + -15 + 6x + -6x

Combine like terms: 15 + -15 = 0
-40 + -11x + 2x2 = 0 + 6x + -6x
-40 + -11x + 2x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
-40 + -11x + 2x2 = 0

Factor a trinomial.
(-5 + -2x)(8 + -1x) = 0


Subproblem 1
Set the factor '(-5 + -2x)' equal to zero and attempt to solve:

Simplifying
-5 + -2x = 0

Solving
-5 + -2x = 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 + -2x = 0 + 5

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

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

Divide each side by '-2'.
x = -2.5

Simplifying
x = -2.5

Subproblem 2
Set the factor '(8 + -1x)' equal to zero and attempt to solve:

Simplifying
8 + -1x = 0

Solving
8 + -1x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -1x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -1x = 0 + -8
-1x = 0 + -8

Combine like terms: 0 + -8 = -8
-1x = -8

Divide each side by '-1'.
x = 8

Simplifying
x = 8
Solution
x = {-2.5, 8}

See similar equations:

| 0.33(9k+3)=-2(k-8) | | -5y=-8 | | 5(3x-x)=2(x-1) | | .33(9k+3)=-2(k-8) | | 6y-8=6y-y | | 3x+3+5+X+6=(X+6)(4) | | 9X-2Y-8Z=10 | | 2x^2+4x-6=10 | | 3p+9=2p+12 | | -60x+8=2x-16 | | 8x-y+z=-25 | | y=6m+4b | | C=6x+17400 | | -4y=2+-1y | | (n^3+2)(n^3-10)= | | 22+2b=-4(6-b)+10 | | -29-.20n=.60n | | 7x+8y=24 | | 1=5x-2 | | 2x^3+6x^2-150x=-139 | | (4+3)2= | | 3(n+3)=3(2n-1) | | 2=4x+4 | | 63.51t=2s+19.33 | | lz+4l=2 | | -9x+15=43-2x | | n+(-14)=9 | | x^4-24X^2+36=0 | | m^2=4x+4 | | -2x^2+2x+9=0 | | 2x^3+6x^2-150x+139=0 | | 4n+3-4+8n= |

Equations solver categories