x(2x-2)=15

Simple and best practice solution for x(2x-2)=15 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(2x-2)=15 equation:


Simplifying
x(2x + -2) = 15

Reorder the terms:
x(-2 + 2x) = 15
(-2 * x + 2x * x) = 15
(-2x + 2x2) = 15

Solving
-2x + 2x2 = 15

Solving for variable 'x'.

Reorder the terms:
-15 + -2x + 2x2 = 15 + -15

Combine like terms: 15 + -15 = 0
-15 + -2x + 2x2 = 0

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

Divide each side by '2'.
-7.5 + -1x + x2 = 0

Move the constant term to the right:

Add '7.5' to each side of the equation.
-7.5 + -1x + 7.5 + x2 = 0 + 7.5

Reorder the terms:
-7.5 + 7.5 + -1x + x2 = 0 + 7.5

Combine like terms: -7.5 + 7.5 = 0.0
0.0 + -1x + x2 = 0 + 7.5
-1x + x2 = 0 + 7.5

Combine like terms: 0 + 7.5 = 7.5
-1x + x2 = 7.5

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = 7.5 + 0.25

Reorder the terms:
0.25 + -1x + x2 = 7.5 + 0.25

Combine like terms: 7.5 + 0.25 = 7.75
0.25 + -1x + x2 = 7.75

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = 7.75

Calculate the square root of the right side: 2.783882181

Break this problem into two subproblems by setting 
(x + -0.5) equal to 2.783882181 and -2.783882181.

Subproblem 1

x + -0.5 = 2.783882181 Simplifying x + -0.5 = 2.783882181 Reorder the terms: -0.5 + x = 2.783882181 Solving -0.5 + x = 2.783882181 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + x = 2.783882181 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + x = 2.783882181 + 0.5 x = 2.783882181 + 0.5 Combine like terms: 2.783882181 + 0.5 = 3.283882181 x = 3.283882181 Simplifying x = 3.283882181

Subproblem 2

x + -0.5 = -2.783882181 Simplifying x + -0.5 = -2.783882181 Reorder the terms: -0.5 + x = -2.783882181 Solving -0.5 + x = -2.783882181 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.5' to each side of the equation. -0.5 + 0.5 + x = -2.783882181 + 0.5 Combine like terms: -0.5 + 0.5 = 0.0 0.0 + x = -2.783882181 + 0.5 x = -2.783882181 + 0.5 Combine like terms: -2.783882181 + 0.5 = -2.283882181 x = -2.283882181 Simplifying x = -2.283882181

Solution

The solution to the problem is based on the solutions from the subproblems. x = {3.283882181, -2.283882181}

See similar equations:

| 6(2x-7)+12=-5(x-1)+11 | | 4(3x-9)=12(x-9) | | (3+a^2+2a)+(a^2-8a+5)= | | -5v+8+6+5=3-7v | | -4(2-3x)=7-2(-3) | | 2x^9+22x^8+60x^7= | | -9+3(6-9b)= | | 3n+15forn=4 | | 9+(-15)-6= | | 5x-3(x-2)=8 | | factory=-4.9x^2+4x+79.2 | | 2(4+4x)=12x+12 | | -15-5n=1-7n | | 5-3(x-2)=8 | | -6(7x+9)=-42x-54 | | 25-4=7xis | | .004(6-k)+.05(k-9)=1 | | 4[3x+(-2x)]-5(3x+2x)= | | 6=24x | | 7+2v-8v=1 | | 120000-(0.3*120000)= | | 4-2a+3-2a=2a+3 | | 17y+100-20y+200+7y= | | 5y-9x=-10 | | x-6+x-6=50 | | B-3=11+3b | | 4-2a+3-2a=8-6a+3 | | 5-4(x+5)=6x-35 | | 4y-2y+2q= | | 27000=0.3x | | b=zs | | 4-2a+3-3a=8-6a+3 |

Equations solver categories