3x^2+15=18x-60

Simple and best practice solution for 3x^2+15=18x-60 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 3x^2+15=18x-60 equation: 


Simplifying
3x2 + 15 = 18x + -60

Reorder the terms:
15 + 3x2 = 18x + -60

Reorder the terms:
15 + 3x2 = -60 + 18x

Solving
15 + 3x2 = -60 + 18x

Solving for variable 'x'.

Reorder the terms:
15 + 60 + -18x + 3x2 = -60 + 18x + 60 + -18x

Combine like terms: 15 + 60 = 75
75 + -18x + 3x2 = -60 + 18x + 60 + -18x

Reorder the terms:
75 + -18x + 3x2 = -60 + 60 + 18x + -18x

Combine like terms: -60 + 60 = 0
75 + -18x + 3x2 = 0 + 18x + -18x
75 + -18x + 3x2 = 18x + -18x

Combine like terms: 18x + -18x = 0
75 + -18x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(25 + -6x + x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(25 + -6x + x2)' equal to zero and attempt to solve:

Simplifying
25 + -6x + x2 = 0

Solving
25 + -6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-25' to each side of the equation.
25 + -6x + -25 + x2 = 0 + -25

Reorder the terms:
25 + -25 + -6x + x2 = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -6x + x2 = 0 + -25
-6x + x2 = 0 + -25

Combine like terms: 0 + -25 = -25
-6x + x2 = -25

The x term is -6x.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x + 9 + x2 = -25 + 9

Reorder the terms:
9 + -6x + x2 = -25 + 9

Combine like terms: -25 + 9 = -16
9 + -6x + x2 = -16

Factor a perfect square on the left side:
(x + -3)(x + -3) = -16

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| 3x-5x-13=-2x+7-13 | | f(-3)=(-3)2+4(-3)+2 | | 100(0.09+0.02(100))=100(0.07(x+100)) | | (-1/2)-(2/5)=(5/6z)-(1/6) | | 2v-9(1+8v)= | | f(-4)=(-4)2+4(-4)+2 | | (9k*k)=4k | | 2a-4=a-12 | | 23/5x2/3 | | 4z=10 | | 3x-14=25 | | -7x+6=-15 | | 4/3-z/5=7/15 | | 165/0.18 | | (x*x)=20x-100 | | 0=-1/3x+1 | | 2(x-5)=3(x+7) | | m/3+4=m/2+5 | | y^2-2y+6=0 | | -x^2+25x-12=0 | | (r*r)+9=10r | | -2(5b-1)-4= | | 8x+6=88 | | f(-5)=(-5)2+4(-5)+2 | | -x-31=239+2x | | 0=(k*k)-12k+35 | | -11x-111=-11111 | | 25=638x^2-45 | | -3+4x=-3 | | 8(u-8)=2u-10 | | (p*p)-p-6=0 | | 7p=4 |

Equations solver categories