x*5x+4x=45

Simple and best practice solution for x*5x+4x=45 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 x*5x+4x=45 equation:


Simplifying
x * 5x + 4x = 45

Reorder the terms for easier multiplication:
5x * x + 4x = 45

Multiply x * x
5x2 + 4x = 45

Reorder the terms:
4x + 5x2 = 45

Solving
4x + 5x2 = 45

Solving for variable 'x'.

Reorder the terms:
-45 + 4x + 5x2 = 45 + -45

Combine like terms: 45 + -45 = 0
-45 + 4x + 5x2 = 0

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

Divide each side by '5'.
-9 + 0.8x + x2 = 0

Move the constant term to the right:

Add '9' to each side of the equation.
-9 + 0.8x + 9 + x2 = 0 + 9

Reorder the terms:
-9 + 9 + 0.8x + x2 = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 0.8x + x2 = 0 + 9
0.8x + x2 = 0 + 9

Combine like terms: 0 + 9 = 9
0.8x + x2 = 9

The x term is 0.8x.  Take half its coefficient (0.4).
Square it (0.16) and add it to both sides.

Add '0.16' to each side of the equation.
0.8x + 0.16 + x2 = 9 + 0.16

Reorder the terms:
0.16 + 0.8x + x2 = 9 + 0.16

Combine like terms: 9 + 0.16 = 9.16
0.16 + 0.8x + x2 = 9.16

Factor a perfect square on the left side:
(x + 0.4)(x + 0.4) = 9.16

Calculate the square root of the right side: 3.02654919

Break this problem into two subproblems by setting 
(x + 0.4) equal to 3.02654919 and -3.02654919.

Subproblem 1

x + 0.4 = 3.02654919 Simplifying x + 0.4 = 3.02654919 Reorder the terms: 0.4 + x = 3.02654919 Solving 0.4 + x = 3.02654919 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4' to each side of the equation. 0.4 + -0.4 + x = 3.02654919 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + x = 3.02654919 + -0.4 x = 3.02654919 + -0.4 Combine like terms: 3.02654919 + -0.4 = 2.62654919 x = 2.62654919 Simplifying x = 2.62654919

Subproblem 2

x + 0.4 = -3.02654919 Simplifying x + 0.4 = -3.02654919 Reorder the terms: 0.4 + x = -3.02654919 Solving 0.4 + x = -3.02654919 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4' to each side of the equation. 0.4 + -0.4 + x = -3.02654919 + -0.4 Combine like terms: 0.4 + -0.4 = 0.0 0.0 + x = -3.02654919 + -0.4 x = -3.02654919 + -0.4 Combine like terms: -3.02654919 + -0.4 = -3.42654919 x = -3.42654919 Simplifying x = -3.42654919

Solution

The solution to the problem is based on the solutions from the subproblems. x = {2.62654919, -3.42654919}

See similar equations:

| 5*5x+4x=45 | | Z^2-3z-2=0 | | f(t)=3t^2+6t-2 | | g(x)=6x-8 | | 3a(2a+7)= | | 32+(4x-3)=3x-(12x-3) | | 1/6+1/12+6/15 | | (x+5)(x-1)= | | -9y-9=-6x | | 3x^2-19x-30=0 | | y=[x]+2 | | (-7/8)(-5/9) | | y=[x+3] | | y=-3[x+1]+4 | | y=-2[x+2]-1 | | 2/1.75 | | y=2[x]+2 | | 2w^2-17w+31-w^2-10w-25=0 | | y=2[x-3]-2 | | y=-2[x-1]+4 | | 16y^2+24y+9=0 | | 12x^2-8x-7=0 | | y=-[x+3]+2 | | -10x^2-15x=-4x^2-3x | | 2y^2+19y+45+y^2+10y+25=0 | | 5y-19=-46+8y | | y=[x-3]+3 | | 2n-18=-12+8n | | -20+-16= | | y=2[x+2]-4 | | 11-2x=6x+7 | | 3(3+3x)-1=26 |

Equations solver categories