x(15x+1)-2(15x-1)=

Simple and best practice solution for x(15x+1)-2(15x-1)= 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(15x+1)-2(15x-1)= equation:


Simplifying
x(15x + 1) + -2(15x + -1) = 0

Reorder the terms:
x(1 + 15x) + -2(15x + -1) = 0
(1 * x + 15x * x) + -2(15x + -1) = 0
(1x + 15x2) + -2(15x + -1) = 0

Reorder the terms:
1x + 15x2 + -2(-1 + 15x) = 0
1x + 15x2 + (-1 * -2 + 15x * -2) = 0
1x + 15x2 + (2 + -30x) = 0

Reorder the terms:
2 + 1x + -30x + 15x2 = 0

Combine like terms: 1x + -30x = -29x
2 + -29x + 15x2 = 0

Solving
2 + -29x + 15x2 = 0

Solving for variable 'x'.

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

Divide each side by '15'.
0.1333333333 + -1.933333333x + x2 = 0

Move the constant term to the right:

Add '-0.1333333333' to each side of the equation.
0.1333333333 + -1.933333333x + -0.1333333333 + x2 = 0 + -0.1333333333

Reorder the terms:
0.1333333333 + -0.1333333333 + -1.933333333x + x2 = 0 + -0.1333333333

Combine like terms: 0.1333333333 + -0.1333333333 = 0.0000000000
0.0000000000 + -1.933333333x + x2 = 0 + -0.1333333333
-1.933333333x + x2 = 0 + -0.1333333333

Combine like terms: 0 + -0.1333333333 = -0.1333333333
-1.933333333x + x2 = -0.1333333333

The x term is -1.933333333x.  Take half its coefficient (-0.9666666665).
Square it (0.9344444441) and add it to both sides.

Add '0.9344444441' to each side of the equation.
-1.933333333x + 0.9344444441 + x2 = -0.1333333333 + 0.9344444441

Reorder the terms:
0.9344444441 + -1.933333333x + x2 = -0.1333333333 + 0.9344444441

Combine like terms: -0.1333333333 + 0.9344444441 = 0.8011111108
0.9344444441 + -1.933333333x + x2 = 0.8011111108

Factor a perfect square on the left side:
(x + -0.9666666665)(x + -0.9666666665) = 0.8011111108

Calculate the square root of the right side: 0.895048105

Break this problem into two subproblems by setting 
(x + -0.9666666665) equal to 0.895048105 and -0.895048105.

Subproblem 1

x + -0.9666666665 = 0.895048105 Simplifying x + -0.9666666665 = 0.895048105 Reorder the terms: -0.9666666665 + x = 0.895048105 Solving -0.9666666665 + x = 0.895048105 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.9666666665' to each side of the equation. -0.9666666665 + 0.9666666665 + x = 0.895048105 + 0.9666666665 Combine like terms: -0.9666666665 + 0.9666666665 = 0.0000000000 0.0000000000 + x = 0.895048105 + 0.9666666665 x = 0.895048105 + 0.9666666665 Combine like terms: 0.895048105 + 0.9666666665 = 1.8617147715 x = 1.8617147715 Simplifying x = 1.8617147715

Subproblem 2

x + -0.9666666665 = -0.895048105 Simplifying x + -0.9666666665 = -0.895048105 Reorder the terms: -0.9666666665 + x = -0.895048105 Solving -0.9666666665 + x = -0.895048105 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.9666666665' to each side of the equation. -0.9666666665 + 0.9666666665 + x = -0.895048105 + 0.9666666665 Combine like terms: -0.9666666665 + 0.9666666665 = 0.0000000000 0.0000000000 + x = -0.895048105 + 0.9666666665 x = -0.895048105 + 0.9666666665 Combine like terms: -0.895048105 + 0.9666666665 = 0.0716185615 x = 0.0716185615 Simplifying x = 0.0716185615

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.8617147715, 0.0716185615}

See similar equations:

| -9.6(50)+641.7=y | | logx-log(x+1)=log(x-3) | | x-y=12-8 | | -9.6(40)+641.7=y | | 6x+5=69 | | 36x+24=12x(x+2+2x) | | -9.6(30)+641.7=y | | 6(y-3)/5=-2y | | -9.6(20)+641.7=y | | 6x+2x+90=11.25 | | X+30=30 | | (3a+5)= | | Y^3+4y^2+y-4=0 | | 0=x^2+12x-4 | | 0.10=t/873.36-2.15 | | .45=log(x)findx | | -12x-20=10x+90 | | -4x^2+13x-10=0 | | x^2+6.5x+10=0 | | 2x+4y=34958 | | -4x+13x-10=0 | | x^-2/3 | | k^-2/3 | | 3(2x-7)=6-4(2-x) | | (6-4i)+(5+2i)= | | (5x+7)+(5x+7)=13x+5 | | 4x^2+7=18 | | (ln25)/2 | | -19n+10=-17n-12 | | 67=5.51+4.3a | | tanx=19/11 | | 4(k)^(-2/3) |

Equations solver categories