7+10x-6x^2=8

Simple and best practice solution for 7+10x-6x^2=8 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 7+10x-6x^2=8 equation: 


Simplifying
7 + 10x + -6x2 = 8

Solving
7 + 10x + -6x2 = 8

Solving for variable 'x'.

Reorder the terms:
7 + -8 + 10x + -6x2 = 8 + -8

Combine like terms: 7 + -8 = -1
-1 + 10x + -6x2 = 8 + -8

Combine like terms: 8 + -8 = 0
-1 + 10x + -6x2 = 0

Begin completing the square.  Divide all terms by
-6 the coefficient of the squared term: 

Divide each side by '-6'.
0.1666666667 + -1.666666667x + x2 = 0

Move the constant term to the right:

Add '-0.1666666667' to each side of the equation.
0.1666666667 + -1.666666667x + -0.1666666667 + x2 = 0 + -0.1666666667

Reorder the terms:
0.1666666667 + -0.1666666667 + -1.666666667x + x2 = 0 + -0.1666666667

Combine like terms: 0.1666666667 + -0.1666666667 = 0.0000000000
0.0000000000 + -1.666666667x + x2 = 0 + -0.1666666667
-1.666666667x + x2 = 0 + -0.1666666667

Combine like terms: 0 + -0.1666666667 = -0.1666666667
-1.666666667x + x2 = -0.1666666667

The x term is -1.666666667x.  Take half its coefficient (-0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
-1.666666667x + 0.6944444447 + x2 = -0.1666666667 + 0.6944444447

Reorder the terms:
0.6944444447 + -1.666666667x + x2 = -0.1666666667 + 0.6944444447

Combine like terms: -0.1666666667 + 0.6944444447 = 0.527777778
0.6944444447 + -1.666666667x + x2 = 0.527777778

Factor a perfect square on the left side:
(x + -0.8333333335)(x + -0.8333333335) = 0.527777778

Calculate the square root of the right side: 0.726483157

Break this problem into two subproblems by setting 
(x + -0.8333333335) equal to 0.726483157 and -0.726483157.


Subproblem 1
x + -0.8333333335 = 0.726483157

Simplifying
x + -0.8333333335 = 0.726483157

Reorder the terms:
-0.8333333335 + x = 0.726483157

Solving
-0.8333333335 + x = 0.726483157

Solving for variable 'x'.

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

Add '0.8333333335' to each side of the equation.
-0.8333333335 + 0.8333333335 + x = 0.726483157 + 0.8333333335

Combine like terms: -0.8333333335 + 0.8333333335 = 0.0000000000
0.0000000000 + x = 0.726483157 + 0.8333333335
x = 0.726483157 + 0.8333333335

Combine like terms: 0.726483157 + 0.8333333335 = 1.5598164905
x = 1.5598164905

Simplifying
x = 1.5598164905


Subproblem 2
x + -0.8333333335 = -0.726483157

Simplifying
x + -0.8333333335 = -0.726483157

Reorder the terms:
-0.8333333335 + x = -0.726483157

Solving
-0.8333333335 + x = -0.726483157

Solving for variable 'x'.

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

Add '0.8333333335' to each side of the equation.
-0.8333333335 + 0.8333333335 + x = -0.726483157 + 0.8333333335

Combine like terms: -0.8333333335 + 0.8333333335 = 0.0000000000
0.0000000000 + x = -0.726483157 + 0.8333333335
x = -0.726483157 + 0.8333333335

Combine like terms: -0.726483157 + 0.8333333335 = 0.1068501765
x = 0.1068501765

Simplifying
x = 0.1068501765


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.5598164905, 0.1068501765}

See similar equations:

| [-6+(-6)]+[4+(-3)]= | | 3p^2+2p-34=0 | | 6.4x-2.2=4.2 | | -88=-10x+2 | | 4t+1=6t-13 | | -5(v+9)=8v-19 | | 6-0.9k=6 | | 2.55d=1785 | | 9-0.2(v-8)=.3(6v-8) | | 2y+42=5(y+3) | | M+(M+3)=7 | | 3(2z-1)-2(z+1)=2(z+1) | | 6(10-4x)+15=3 | | -7x+3=x+4 | | -16=2(v+8)-6v | | (11x^2+4x-1)-(11x^2+9x+4)= | | 4(7x-16)-20=0 | | 8(x-12)=8 | | 235-q=p | | 16=-5y+2(y-7) | | 3+6(x-3)=7-2(x-1) | | 2x^2-1x-80=0 | | p=235-q | | 17r+s-3r+11s= | | 3-6(x-3)=7-2(x-1) | | -0.671x^3+19.5x^2-150.6x+475.9= | | 3(1+7x)-15=9 | | X+x-19=25 | | 2q+25=p | | 5(u+6)+2u=37 | | x=-0.671x^3+19.5x^2-150.6x+475.9 | | x-3y=20fory |

Equations solver categories