81x^2=90x+25

Simple and best practice solution for 81x^2=90x+25 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 81x^2=90x+25 equation:


Simplifying
81x2 = 90x + 25

Reorder the terms:
81x2 = 25 + 90x

Solving
81x2 = 25 + 90x

Solving for variable 'x'.

Reorder the terms:
-25 + -90x + 81x2 = 25 + 90x + -25 + -90x

Reorder the terms:
-25 + -90x + 81x2 = 25 + -25 + 90x + -90x

Combine like terms: 25 + -25 = 0
-25 + -90x + 81x2 = 0 + 90x + -90x
-25 + -90x + 81x2 = 90x + -90x

Combine like terms: 90x + -90x = 0
-25 + -90x + 81x2 = 0

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

Divide each side by '81'.
-0.3086419753 + -1.111111111x + x2 = 0

Move the constant term to the right:

Add '0.3086419753' to each side of the equation.
-0.3086419753 + -1.111111111x + 0.3086419753 + x2 = 0 + 0.3086419753

Reorder the terms:
-0.3086419753 + 0.3086419753 + -1.111111111x + x2 = 0 + 0.3086419753

Combine like terms: -0.3086419753 + 0.3086419753 = 0.0000000000
0.0000000000 + -1.111111111x + x2 = 0 + 0.3086419753
-1.111111111x + x2 = 0 + 0.3086419753

Combine like terms: 0 + 0.3086419753 = 0.3086419753
-1.111111111x + x2 = 0.3086419753

The x term is -1.111111111x.  Take half its coefficient (-0.5555555555).
Square it (0.3086419752) and add it to both sides.

Add '0.3086419752' to each side of the equation.
-1.111111111x + 0.3086419752 + x2 = 0.3086419753 + 0.3086419752

Reorder the terms:
0.3086419752 + -1.111111111x + x2 = 0.3086419753 + 0.3086419752

Combine like terms: 0.3086419753 + 0.3086419752 = 0.6172839505
0.3086419752 + -1.111111111x + x2 = 0.6172839505

Factor a perfect square on the left side:
(x + -0.5555555555)(x + -0.5555555555) = 0.6172839505

Calculate the square root of the right side: 0.785674201

Break this problem into two subproblems by setting 
(x + -0.5555555555) equal to 0.785674201 and -0.785674201.

Subproblem 1

x + -0.5555555555 = 0.785674201 Simplifying x + -0.5555555555 = 0.785674201 Reorder the terms: -0.5555555555 + x = 0.785674201 Solving -0.5555555555 + x = 0.785674201 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5555555555' to each side of the equation. -0.5555555555 + 0.5555555555 + x = 0.785674201 + 0.5555555555 Combine like terms: -0.5555555555 + 0.5555555555 = 0.0000000000 0.0000000000 + x = 0.785674201 + 0.5555555555 x = 0.785674201 + 0.5555555555 Combine like terms: 0.785674201 + 0.5555555555 = 1.3412297565 x = 1.3412297565 Simplifying x = 1.3412297565

Subproblem 2

x + -0.5555555555 = -0.785674201 Simplifying x + -0.5555555555 = -0.785674201 Reorder the terms: -0.5555555555 + x = -0.785674201 Solving -0.5555555555 + x = -0.785674201 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5555555555' to each side of the equation. -0.5555555555 + 0.5555555555 + x = -0.785674201 + 0.5555555555 Combine like terms: -0.5555555555 + 0.5555555555 = 0.0000000000 0.0000000000 + x = -0.785674201 + 0.5555555555 x = -0.785674201 + 0.5555555555 Combine like terms: -0.785674201 + 0.5555555555 = -0.2301186455 x = -0.2301186455 Simplifying x = -0.2301186455

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.3412297565, -0.2301186455}

See similar equations:

| (18-9)0.5= | | 9-2*(-4+3(5-(1-7)+5)-7)-3(-68)= | | 2+2y-21y= | | -15=17+8x | | 189=-3(1-8x) | | 2m+yr=r-9h | | 1-2x+0.25x^3=0 | | 11+6x=10x-5 | | 5(420.26)= | | 6x^4-40x^2+9=0 | | 6x+12y=162 | | 2x+8(x+2)=3(2x+8) | | 39+3(-5+4g)=1-g | | 3(2x-40)+8=2x-40 | | 9p+3=-p+7+2p+5p | | x=-√1/4 | | 7+8q=12+7q | | -√1/4 | | 8x*.40=16 | | 36w^2=9 | | x^2-10x-67=0 | | 4(2y-1)=7y+12 | | t^2-12.5t+25=0 | | (5x-1)/2-(2x+3)/3=(4/3)-x | | (9-3i)/(5-8i) | | 3.5=9.9-2y | | 10V^2-15V=27+4V^2-6V | | (2x-3y+4z)(2x-3y+4z)= | | B^2+7B-33=0 | | -16+4x=-4 | | 4m^4-16= | | -y=10-2x |

Equations solver categories