-4x^2+5=-5x

Simple and best practice solution for -4x^2+5=-5x 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 -4x^2+5=-5x equation:


Simplifying
-4x2 + 5 = -5x

Reorder the terms:
5 + -4x2 = -5x

Solving
5 + -4x2 = -5x

Solving for variable 'x'.

Reorder the terms:
5 + 5x + -4x2 = -5x + 5x

Combine like terms: -5x + 5x = 0
5 + 5x + -4x2 = 0

Begin completing the square.  Divide all terms by
-4 the coefficient of the squared term: 

Divide each side by '-4'.
-1.25 + -1.25x + x2 = 0

Move the constant term to the right:

Add '1.25' to each side of the equation.
-1.25 + -1.25x + 1.25 + x2 = 0 + 1.25

Reorder the terms:
-1.25 + 1.25 + -1.25x + x2 = 0 + 1.25

Combine like terms: -1.25 + 1.25 = 0.00
0.00 + -1.25x + x2 = 0 + 1.25
-1.25x + x2 = 0 + 1.25

Combine like terms: 0 + 1.25 = 1.25
-1.25x + x2 = 1.25

The x term is -1.25x.  Take half its coefficient (-0.625).
Square it (0.390625) and add it to both sides.

Add '0.390625' to each side of the equation.
-1.25x + 0.390625 + x2 = 1.25 + 0.390625

Reorder the terms:
0.390625 + -1.25x + x2 = 1.25 + 0.390625

Combine like terms: 1.25 + 0.390625 = 1.640625
0.390625 + -1.25x + x2 = 1.640625

Factor a perfect square on the left side:
(x + -0.625)(x + -0.625) = 1.640625

Calculate the square root of the right side: 1.280868846

Break this problem into two subproblems by setting 
(x + -0.625) equal to 1.280868846 and -1.280868846.

Subproblem 1

x + -0.625 = 1.280868846 Simplifying x + -0.625 = 1.280868846 Reorder the terms: -0.625 + x = 1.280868846 Solving -0.625 + x = 1.280868846 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.625' to each side of the equation. -0.625 + 0.625 + x = 1.280868846 + 0.625 Combine like terms: -0.625 + 0.625 = 0.000 0.000 + x = 1.280868846 + 0.625 x = 1.280868846 + 0.625 Combine like terms: 1.280868846 + 0.625 = 1.905868846 x = 1.905868846 Simplifying x = 1.905868846

Subproblem 2

x + -0.625 = -1.280868846 Simplifying x + -0.625 = -1.280868846 Reorder the terms: -0.625 + x = -1.280868846 Solving -0.625 + x = -1.280868846 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.625' to each side of the equation. -0.625 + 0.625 + x = -1.280868846 + 0.625 Combine like terms: -0.625 + 0.625 = 0.000 0.000 + x = -1.280868846 + 0.625 x = -1.280868846 + 0.625 Combine like terms: -1.280868846 + 0.625 = -0.655868846 x = -0.655868846 Simplifying x = -0.655868846

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.905868846, -0.655868846}

See similar equations:

| 3x^4-9x^2-30x^2=0 | | 7(y-3)=2(3y+9)-39 | | 9x=0.55 | | 27-8s=2-3s | | 20x^2+9x-18=0 | | 2v^2+11v=138 | | 2x^2+7=-4x | | 3x^2=11x+21 | | 9x-5=-14 | | x+2x+3x=100 | | 2*ln(x-5)-ln(2x-13)=1 | | x+2x=100 | | ln(4-x)-2ln(x)=1 | | 2(-5)(-3)= | | 8x^2-5=0 | | ln(x)+ln(x-3)=ln(6x)-ln(x-2) | | 5-7+(-8)-(-3)-2= | | -5-7+(-8)-(-3)-2= | | 8x-63=-4x+9 | | 196x^2=16 | | 256x^2=100 | | x^2-4x+4=81 | | x^2-14x+49=100 | | -7d=50+20d | | 649-x=243 | | x^2-18x+81=81 | | 6+2(8+6x)-9(3x+4)=0 | | -5x+6=-44 | | 2log[4]x=-log[4]16 | | x^2+20x+100=4 | | x+6(4)=x(2)+3x+5(2) | | 12-9x=70-23x |

Equations solver categories