.29x^2-.18=.63x

Simple and best practice solution for .29x^2-.18=.63x 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 .29x^2-.18=.63x equation:


Simplifying
0.29x2 + -0.18 = 0.63x

Reorder the terms:
-0.18 + 0.29x2 = 0.63x

Solving
-0.18 + 0.29x2 = 0.63x

Solving for variable 'x'.

Reorder the terms:
-0.18 + -0.63x + 0.29x2 = 0.63x + -0.63x

Combine like terms: 0.63x + -0.63x = 0.00
-0.18 + -0.63x + 0.29x2 = 0.00

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

Divide each side by '0.29'.
-0.6206896552 + -2.172413793x + x2 = 0

Move the constant term to the right:

Add '0.6206896552' to each side of the equation.
-0.6206896552 + -2.172413793x + 0.6206896552 + x2 = 0 + 0.6206896552

Reorder the terms:
-0.6206896552 + 0.6206896552 + -2.172413793x + x2 = 0 + 0.6206896552

Combine like terms: -0.6206896552 + 0.6206896552 = 0.0000000000
0.0000000000 + -2.172413793x + x2 = 0 + 0.6206896552
-2.172413793x + x2 = 0 + 0.6206896552

Combine like terms: 0 + 0.6206896552 = 0.6206896552
-2.172413793x + x2 = 0.6206896552

The x term is -2.172413793x.  Take half its coefficient (-1.086206897).
Square it (1.179845423) and add it to both sides.

Add '1.179845423' to each side of the equation.
-2.172413793x + 1.179845423 + x2 = 0.6206896552 + 1.179845423

Reorder the terms:
1.179845423 + -2.172413793x + x2 = 0.6206896552 + 1.179845423

Combine like terms: 0.6206896552 + 1.179845423 = 1.8005350782
1.179845423 + -2.172413793x + x2 = 1.8005350782

Factor a perfect square on the left side:
(x + -1.086206897)(x + -1.086206897) = 1.8005350782

Calculate the square root of the right side: 1.341840184

Break this problem into two subproblems by setting 
(x + -1.086206897) equal to 1.341840184 and -1.341840184.

Subproblem 1

x + -1.086206897 = 1.341840184 Simplifying x + -1.086206897 = 1.341840184 Reorder the terms: -1.086206897 + x = 1.341840184 Solving -1.086206897 + x = 1.341840184 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.086206897' to each side of the equation. -1.086206897 + 1.086206897 + x = 1.341840184 + 1.086206897 Combine like terms: -1.086206897 + 1.086206897 = 0.000000000 0.000000000 + x = 1.341840184 + 1.086206897 x = 1.341840184 + 1.086206897 Combine like terms: 1.341840184 + 1.086206897 = 2.428047081 x = 2.428047081 Simplifying x = 2.428047081

Subproblem 2

x + -1.086206897 = -1.341840184 Simplifying x + -1.086206897 = -1.341840184 Reorder the terms: -1.086206897 + x = -1.341840184 Solving -1.086206897 + x = -1.341840184 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.086206897' to each side of the equation. -1.086206897 + 1.086206897 + x = -1.341840184 + 1.086206897 Combine like terms: -1.086206897 + 1.086206897 = 0.000000000 0.000000000 + x = -1.341840184 + 1.086206897 x = -1.341840184 + 1.086206897 Combine like terms: -1.341840184 + 1.086206897 = -0.255633287 x = -0.255633287 Simplifying x = -0.255633287

Solution

The solution to the problem is based on the solutions from the subproblems. x = {2.428047081, -0.255633287}

See similar equations:

| 3(b-8)=18 | | x(10-3x)+6=x(4x-9) | | 6(c+1)c=6 | | 4t+1+4t-7t=6+2 | | -(-2x)=(-37) | | 26-2(2w+1)=8w-2(8+w) | | 3k-1=7k | | 2=4x+y | | -5x-6=-x^2 | | -3g=2(2g+21) | | y-18=20 | | 4v-7=5+7v | | 6-5p=-24 | | 27j-6=14j+16 | | -2.4+m=-2.4 | | c(c-10c)=0 | | 1000xq=9.7784 | | 2x^2-14x+14=0 | | 108=l+2(18)+2(18) | | 7x+21=0 | | .04-0.003x=.4 | | 7x+2=0 | | 108=48+2(22)+2(h) | | 16k-223=6k-13 | | 4x^2+65=81 | | -6x-9=9-4x | | 42.3=m+17.8 | | 7x^2-64x=0 | | -4y=(18-5y)2 | | -97y+13=y-50 | | 7-5u=43 | | -8x-23=-4x+49 |

Equations solver categories