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

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


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

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

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

Multiply (5 + 2x) * (-6 + x)
(5(-6 + x) + 2x * (-6 + x)) = 6x + 15
((-6 * 5 + x * 5) + 2x * (-6 + x)) = 6x + 15
((-30 + 5x) + 2x * (-6 + x)) = 6x + 15
(-30 + 5x + (-6 * 2x + x * 2x)) = 6x + 15
(-30 + 5x + (-12x + 2x2)) = 6x + 15

Combine like terms: 5x + -12x = -7x
(-30 + -7x + 2x2) = 6x + 15

Reorder the terms:
-30 + -7x + 2x2 = 15 + 6x

Solving
-30 + -7x + 2x2 = 15 + 6x

Solving for variable 'x'.

Reorder the terms:
-30 + -15 + -7x + -6x + 2x2 = 15 + 6x + -15 + -6x

Combine like terms: -30 + -15 = -45
-45 + -7x + -6x + 2x2 = 15 + 6x + -15 + -6x

Combine like terms: -7x + -6x = -13x
-45 + -13x + 2x2 = 15 + 6x + -15 + -6x

Reorder the terms:
-45 + -13x + 2x2 = 15 + -15 + 6x + -6x

Combine like terms: 15 + -15 = 0
-45 + -13x + 2x2 = 0 + 6x + -6x
-45 + -13x + 2x2 = 6x + -6x

Combine like terms: 6x + -6x = 0
-45 + -13x + 2x2 = 0

Factor a trinomial.
(-5 + -2x)(9 + -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 '(9 + -1x)' equal to zero and attempt to solve:

Simplifying
9 + -1x = 0

Solving
9 + -1x = 0

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

Add '-9' to each side of the equation.
9 + -9 + -1x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + -1x = 0 + -9
-1x = 0 + -9

Combine like terms: 0 + -9 = -9
-1x = -9

Divide each side by '-1'.
x = 9

Simplifying
x = 9
Solution
x = {-2.5, 9}

See similar equations:

| 10x-1+1=180+1 | | x+0.5x=29 | | x+3x+6x-1=180 | | 9-13x-7-2x=5 | | 14p-6(p+3)-7x=p+9 | | 8=5e/4=3 | | (a-10)*(a/10)=20 | | 4+9=w | | sint+5cost=4 | | 4x+3=2x+41 | | 224=-8(-5-2) | | 8x-28/2x^2-7x | | 2(x)-185-x=27 | | -8y-8=2y+22 | | 5y+105=210 | | 7500m(1,500m/secx5sec) | | -17=3x-5 | | h=(-5t)2+80t | | 2(90-x)-12=x | | xsquared+16x+64=5 | | 9-6/2=13 | | 45x^2+42+8=0 | | -16x-45=4x | | 56=-8/5x | | 13x+26-2y-xy=0 | | 8=t/5 | | 17x-7=8+12 | | (4x+48)=7x | | 9-0.6= | | a^2-2ax-x+x^2=0 | | 2x^2-32+12x=0 | | 25/4(x-2/3)=75/8 |

Equations solver categories