6x(-3x+7)=29

Simple and best practice solution for 6x(-3x+7)=29 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 6x(-3x+7)=29 equation: 


Simplifying
6x(-3x + 7) = 29

Reorder the terms:
6x(7 + -3x) = 29
(7 * 6x + -3x * 6x) = 29
(42x + -18x2) = 29

Solving
42x + -18x2 = 29

Solving for variable 'x'.

Reorder the terms:
-29 + 42x + -18x2 = 29 + -29

Combine like terms: 29 + -29 = 0
-29 + 42x + -18x2 = 0

Begin completing the square.  Divide all terms by
-18 the coefficient of the squared term: 

Divide each side by '-18'.
1.611111111 + -2.333333333x + x2 = 0

Move the constant term to the right:

Add '-1.611111111' to each side of the equation.
1.611111111 + -2.333333333x + -1.611111111 + x2 = 0 + -1.611111111

Reorder the terms:
1.611111111 + -1.611111111 + -2.333333333x + x2 = 0 + -1.611111111

Combine like terms: 1.611111111 + -1.611111111 = 0.000000000
0.000000000 + -2.333333333x + x2 = 0 + -1.611111111
-2.333333333x + x2 = 0 + -1.611111111

Combine like terms: 0 + -1.611111111 = -1.611111111
-2.333333333x + x2 = -1.611111111

The x term is -2.333333333x.  Take half its coefficient (-1.166666667).
Square it (1.361111112) and add it to both sides.

Add '1.361111112' to each side of the equation.
-2.333333333x + 1.361111112 + x2 = -1.611111111 + 1.361111112

Reorder the terms:
1.361111112 + -2.333333333x + x2 = -1.611111111 + 1.361111112

Combine like terms: -1.611111111 + 1.361111112 = -0.249999999
1.361111112 + -2.333333333x + x2 = -0.249999999

Factor a perfect square on the left side:
(x + -1.166666667)(x + -1.166666667) = -0.249999999

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 32-5x=-28 | | ln(8+x)=1 | | 20y-4y-15y+-17y-13y-6=-15 | | (2x-5)=3x+7 | | 2.3=x+4.1 | | 8x=12-5*(4x-10) | | (4w-6)(3+w)=0 | | .5(6x+4)=2+3x | | 5x+4.8=x+10 | | 6(4-3x)=-2(3x-5) | | 9=n+(10-n)*0.8 | | F(x)=14x+10 | | -102=-6(k+2) | | log(x^2+36)=10 | | (x+6)+x+3x=91 | | (6x-4)+(7x+3)=90 | | y=x^3+4x^2-17x-60 | | 8y+1=7y-2(7+y) | | 5(x+1.1)=4x+6.9 | | -7x+8-4x+11=129 | | 8x=12-5(4x-10) | | -16t^2+46t+170=0 | | V(x)=(6-x)(6-x)(3x+1) | | F(x)=120-(25)x | | -4b-9=53 | | 0.3x^2-1.2x+13=0 | | 20x^2-100x-120=0 | | 9g+1=16g+3-9 | | -2(n+6)=-12+-2n | | 2x^2+29x-7.7=0 | | -2(5c-7)-2c=-4(4c-26) | | (3x-14)+(7x+4)=90 |

Equations solver categories