0.5(x-52)=13+7x*x

Simple and best practice solution for 0.5(x-52)=13+7x*x 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 0.5(x-52)=13+7x*x equation: 


Simplifying
0.5(x + -52) = 13 + 7x * x

Reorder the terms:
0.5(-52 + x) = 13 + 7x * x
(-52 * 0.5 + x * 0.5) = 13 + 7x * x
(-26 + 0.5x) = 13 + 7x * x

Multiply x * x
-26 + 0.5x = 13 + 7x2

Solving
-26 + 0.5x = 13 + 7x2

Solving for variable 'x'.

Reorder the terms:
-26 + -13 + 0.5x + -7x2 = 13 + 7x2 + -13 + -7x2

Combine like terms: -26 + -13 = -39
-39 + 0.5x + -7x2 = 13 + 7x2 + -13 + -7x2

Reorder the terms:
-39 + 0.5x + -7x2 = 13 + -13 + 7x2 + -7x2

Combine like terms: 13 + -13 = 0
-39 + 0.5x + -7x2 = 0 + 7x2 + -7x2
-39 + 0.5x + -7x2 = 7x2 + -7x2

Combine like terms: 7x2 + -7x2 = 0
-39 + 0.5x + -7x2 = 0

Begin completing the square.  Divide all terms by
-7 the coefficient of the squared term: 

Divide each side by '-7'.
5.571428571 + -0.07142857143x + x2 = 0

Move the constant term to the right:

Add '-5.571428571' to each side of the equation.
5.571428571 + -0.07142857143x + -5.571428571 + x2 = 0 + -5.571428571

Reorder the terms:
5.571428571 + -5.571428571 + -0.07142857143x + x2 = 0 + -5.571428571

Combine like terms: 5.571428571 + -5.571428571 = 0.000000000
0.000000000 + -0.07142857143x + x2 = 0 + -5.571428571
-0.07142857143x + x2 = 0 + -5.571428571

Combine like terms: 0 + -5.571428571 = -5.571428571
-0.07142857143x + x2 = -5.571428571

The x term is -0.07142857143x.  Take half its coefficient (-0.03571428572).
Square it (0.001275510204) and add it to both sides.

Add '0.001275510204' to each side of the equation.
-0.07142857143x + 0.001275510204 + x2 = -5.571428571 + 0.001275510204

Reorder the terms:
0.001275510204 + -0.07142857143x + x2 = -5.571428571 + 0.001275510204

Combine like terms: -5.571428571 + 0.001275510204 = -5.570153060796
0.001275510204 + -0.07142857143x + x2 = -5.570153060796

Factor a perfect square on the left side:
(x + -0.03571428572)(x + -0.03571428572) = -5.570153060796

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 6.2-(-1.4)=x | | (10)(-3.4)=x | | -2+3y=11 | | -35/5=x | | -7(1+p)=-7p+9 | | 6(y+4)=4y-18 | | 260=-20p | | 18+10=712 | | 4x^4-32=0 | | x^2-nx-2015=0 | | 4(x-3)=5x | | -4p-7(1-8p)=39+6p | | sx-b=c | | 35p+56=56p+56 | | 4x+(3x+20)=180 | | -7k+7(-7k+2)=7(-8k-3) | | 5x-6x=-5x+16 | | 50-2x=14-3x | | 5+2x=4(-x+3)-42 | | 3(v-5)=6(v+1) | | 5x+40x-7=9(5x+8) | | -18-72=30-24x | | -x^3-x-2=0 | | 5+5x=2(-x+9)-34 | | x/(-9)=34 | | -x^3+-x+-2=0 | | 8(8-2x)=128 | | -6(7+6x)=-4+2x | | 8a-6=8+a | | 10x-5=3x | | 8q=5u-7e+5y | | x^4-32x+97=0 |

Equations solver categories