3x^2=3x-60

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


Simplifying
3x2 = 3x + -60

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

Solving
3x2 = -60 + 3x

Solving for variable 'x'.

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

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

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

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

Factor out the Greatest Common Factor (GCF), '3'.
3(20 + -1x + x2) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(20 + -1x + x2)' equal to zero and attempt to solve: Simplifying 20 + -1x + x2 = 0 Solving 20 + -1x + x2 = 0 Begin completing the square. Move the constant term to the right: Add '-20' to each side of the equation. 20 + -1x + -20 + x2 = 0 + -20 Reorder the terms: 20 + -20 + -1x + x2 = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1x + x2 = 0 + -20 -1x + x2 = 0 + -20 Combine like terms: 0 + -20 = -20 -1x + x2 = -20 The x term is -1x. Take half its coefficient (-0.5). Square it (0.25) and add it to both sides. Add '0.25' to each side of the equation. -1x + 0.25 + x2 = -20 + 0.25 Reorder the terms: 0.25 + -1x + x2 = -20 + 0.25 Combine like terms: -20 + 0.25 = -19.75 0.25 + -1x + x2 = -19.75 Factor a perfect square on the left side: (x + -0.5)(x + -0.5) = -19.75 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:

| 7d+d+d-4d-7=5d | | 25x^2=-20x-4 | | -3x-9+15x=0 | | 5x+32=2x-13 | | -16n-14n=0 | | 13v=10v+30 | | 4-10x=0 | | 4n-n=0 | | 5w+8-w=8w+4-w | | -x/3-5=-9 | | -20+10y=50 | | 5u=-3U | | 0=4x^3-64x | | 89-2x=16x+21 | | 11(x+3)=2x-5 | | 8x-4+6=4x+6 | | 72=-8(-10+x) | | -2(1-a)+5=6-(a-1) | | 5x+7(3x-18)=4 | | -93=-7n+5 | | 4(3a-1)=10-(a+3) | | -24+h=-45 | | 3(x-4)-8=2x | | 3(1-2y)=8-3y | | 5+6y=y+20 | | 5(2a+7)=5(4-a) | | 5(x-2)=3x-12 | | 1=x+1/16 | | -12-66=-9x+21 | | 4a+6=2a+20 | | 10(x-3)=5(x+5) | | 41+6=2a+20 |

Equations solver categories