5x(x-2)+3=7x+9

Simple and best practice solution for 5x(x-2)+3=7x+9 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 5x(x-2)+3=7x+9 equation:


Simplifying
5x(x + -2) + 3 = 7x + 9

Reorder the terms:
5x(-2 + x) + 3 = 7x + 9
(-2 * 5x + x * 5x) + 3 = 7x + 9
(-10x + 5x2) + 3 = 7x + 9

Reorder the terms:
3 + -10x + 5x2 = 7x + 9

Reorder the terms:
3 + -10x + 5x2 = 9 + 7x

Solving
3 + -10x + 5x2 = 9 + 7x

Solving for variable 'x'.

Reorder the terms:
3 + -9 + -10x + -7x + 5x2 = 9 + 7x + -9 + -7x

Combine like terms: 3 + -9 = -6
-6 + -10x + -7x + 5x2 = 9 + 7x + -9 + -7x

Combine like terms: -10x + -7x = -17x
-6 + -17x + 5x2 = 9 + 7x + -9 + -7x

Reorder the terms:
-6 + -17x + 5x2 = 9 + -9 + 7x + -7x

Combine like terms: 9 + -9 = 0
-6 + -17x + 5x2 = 0 + 7x + -7x
-6 + -17x + 5x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
-6 + -17x + 5x2 = 0

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

Divide each side by '5'.
-1.2 + -3.4x + x2 = 0

Move the constant term to the right:

Add '1.2' to each side of the equation.
-1.2 + -3.4x + 1.2 + x2 = 0 + 1.2

Reorder the terms:
-1.2 + 1.2 + -3.4x + x2 = 0 + 1.2

Combine like terms: -1.2 + 1.2 = 0.0
0.0 + -3.4x + x2 = 0 + 1.2
-3.4x + x2 = 0 + 1.2

Combine like terms: 0 + 1.2 = 1.2
-3.4x + x2 = 1.2

The x term is -3.4x.  Take half its coefficient (-1.7).
Square it (2.89) and add it to both sides.

Add '2.89' to each side of the equation.
-3.4x + 2.89 + x2 = 1.2 + 2.89

Reorder the terms:
2.89 + -3.4x + x2 = 1.2 + 2.89

Combine like terms: 1.2 + 2.89 = 4.09
2.89 + -3.4x + x2 = 4.09

Factor a perfect square on the left side:
(x + -1.7)(x + -1.7) = 4.09

Calculate the square root of the right side: 2.022374842

Break this problem into two subproblems by setting 
(x + -1.7) equal to 2.022374842 and -2.022374842.

Subproblem 1

x + -1.7 = 2.022374842 Simplifying x + -1.7 = 2.022374842 Reorder the terms: -1.7 + x = 2.022374842 Solving -1.7 + x = 2.022374842 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.7' to each side of the equation. -1.7 + 1.7 + x = 2.022374842 + 1.7 Combine like terms: -1.7 + 1.7 = 0.0 0.0 + x = 2.022374842 + 1.7 x = 2.022374842 + 1.7 Combine like terms: 2.022374842 + 1.7 = 3.722374842 x = 3.722374842 Simplifying x = 3.722374842

Subproblem 2

x + -1.7 = -2.022374842 Simplifying x + -1.7 = -2.022374842 Reorder the terms: -1.7 + x = -2.022374842 Solving -1.7 + x = -2.022374842 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.7' to each side of the equation. -1.7 + 1.7 + x = -2.022374842 + 1.7 Combine like terms: -1.7 + 1.7 = 0.0 0.0 + x = -2.022374842 + 1.7 x = -2.022374842 + 1.7 Combine like terms: -2.022374842 + 1.7 = -0.322374842 x = -0.322374842 Simplifying x = -0.322374842

Solution

The solution to the problem is based on the solutions from the subproblems. x = {3.722374842, -0.322374842}

See similar equations:

| 14x^6/16x^8 | | -25=a^2 | | Y-1=-5(x+2) | | -36y^2+x^2=0 | | 72x^5/81x^8 | | y=-x^2-2x-13 | | X/-6×1=3 | | 119+(10x-34)+(10x+-27)=180 | | 2(a-5)-3(a-2)= | | 0.06x=18 | | 20x^3/35x^5 | | 3-6a=-6a | | 3x-8=4x-32 | | X/9-3=2 | | Tan(5x+-10)=1 | | 14=x/-3-8 | | 2x+25=79 | | Tan(5x-10)=0 | | 4x^2+7x-36= | | -5/5=-7/10x | | 3x/2=18 | | 18t=12t+3 | | cos(x)/4cos(x) | | 7x/8=7 | | n+-6=9 | | 5b-4=13 | | X/7-9=5 | | -9(x+2)-6=-24 | | 300+20logx=60 | | 6x^2+10x-102=0 | | 30=1.5r+6 | | 5z-5=8z-4z |

Equations solver categories