(3x^2)-42x+147=0

Simple and best practice solution for (3x^2)-42x+147=0 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)-42x+147=0 equation:


Simplifying
(3x2) + -42x + 147 = 0

Reorder the terms:
147 + -42x + (3x2) = 0

Solving
147 + -42x + (3x2) = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(49 + -14x + x2) = 0

Factor a trinomial.
3((7 + -1x)(7 + -1x)) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 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 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7

Subproblem 2

Set the factor '(7 + -1x)' equal to zero and attempt to solve: Simplifying 7 + -1x = 0 Solving 7 + -1x = 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 + -1x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 0 + -7 -1x = 0 + -7 Combine like terms: 0 + -7 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7

Solution

x = {7, 7}

See similar equations:

| 7(a-4)+6=5(a-4) | | 3/4(6n-2)=246 | | x^3+9x^2+27x+27=0 | | x^2-x-144=0 | | 17-(-y-7)=3(y+4)-9(y+4) | | (6y+7)-(5+5y)=9 | | 4.5x=2x+20 | | 0=-3x^2-4x-1 | | 2(x+3)=9x+1-7x+5 | | x-x^1/2=12 | | 5/15+1/5a=1/3a | | -12p-2q= | | r/2+4r=27 | | y=-3x^2-4x-1 | | x-5/3=7/3 | | (x+2)2/3=9 | | m^2+13=0 | | 9+5(-3z-2)=-9(z+5)+9 | | 2-12=-7y+2y | | -4/5u+1/5u=-7/5-6/5 | | 24+2x=8x | | 2.6w-0.6=4.6 | | 0.5x-0.9(4-x)=2.7 | | -4v-32=4v | | 81x=3 | | (33)5= | | (33)5= | | 8.4z-7.4z+2.5=6.8 | | 5/7v=-2 | | 7v+14=0 | | 1/3(9+g)=g+1 | | -7u=-3 |

Equations solver categories