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

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


Simplifying
3(2x + -5)(2x + -5) + -1(5x + 2)(5x + -2) = 0

Reorder the terms:
3(-5 + 2x)(2x + -5) + -1(5x + 2)(5x + -2) = 0

Reorder the terms:
3(-5 + 2x)(-5 + 2x) + -1(5x + 2)(5x + -2) = 0

Multiply (-5 + 2x) * (-5 + 2x)
3(-5(-5 + 2x) + 2x * (-5 + 2x)) + -1(5x + 2)(5x + -2) = 0
3((-5 * -5 + 2x * -5) + 2x * (-5 + 2x)) + -1(5x + 2)(5x + -2) = 0
3((25 + -10x) + 2x * (-5 + 2x)) + -1(5x + 2)(5x + -2) = 0
3(25 + -10x + (-5 * 2x + 2x * 2x)) + -1(5x + 2)(5x + -2) = 0
3(25 + -10x + (-10x + 4x2)) + -1(5x + 2)(5x + -2) = 0

Combine like terms: -10x + -10x = -20x
3(25 + -20x + 4x2) + -1(5x + 2)(5x + -2) = 0
(25 * 3 + -20x * 3 + 4x2 * 3) + -1(5x + 2)(5x + -2) = 0
(75 + -60x + 12x2) + -1(5x + 2)(5x + -2) = 0

Reorder the terms:
75 + -60x + 12x2 + -1(2 + 5x)(5x + -2) = 0

Reorder the terms:
75 + -60x + 12x2 + -1(2 + 5x)(-2 + 5x) = 0

Multiply (2 + 5x) * (-2 + 5x)
75 + -60x + 12x2 + -1(2(-2 + 5x) + 5x * (-2 + 5x)) = 0
75 + -60x + 12x2 + -1((-2 * 2 + 5x * 2) + 5x * (-2 + 5x)) = 0
75 + -60x + 12x2 + -1((-4 + 10x) + 5x * (-2 + 5x)) = 0
75 + -60x + 12x2 + -1(-4 + 10x + (-2 * 5x + 5x * 5x)) = 0
75 + -60x + 12x2 + -1(-4 + 10x + (-10x + 25x2)) = 0

Combine like terms: 10x + -10x = 0
75 + -60x + 12x2 + -1(-4 + 0 + 25x2) = 0
75 + -60x + 12x2 + -1(-4 + 25x2) = 0
75 + -60x + 12x2 + (-4 * -1 + 25x2 * -1) = 0
75 + -60x + 12x2 + (4 + -25x2) = 0

Reorder the terms:
75 + 4 + -60x + 12x2 + -25x2 = 0

Combine like terms: 75 + 4 = 79
79 + -60x + 12x2 + -25x2 = 0

Combine like terms: 12x2 + -25x2 = -13x2
79 + -60x + -13x2 = 0

Solving
79 + -60x + -13x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
-13 the coefficient of the squared term: 

Divide each side by '-13'.
-6.076923077 + 4.615384615x + x2 = 0

Move the constant term to the right:

Add '6.076923077' to each side of the equation.
-6.076923077 + 4.615384615x + 6.076923077 + x2 = 0 + 6.076923077

Reorder the terms:
-6.076923077 + 6.076923077 + 4.615384615x + x2 = 0 + 6.076923077

Combine like terms: -6.076923077 + 6.076923077 = 0.000000000
0.000000000 + 4.615384615x + x2 = 0 + 6.076923077
4.615384615x + x2 = 0 + 6.076923077

Combine like terms: 0 + 6.076923077 = 6.076923077
4.615384615x + x2 = 6.076923077

The x term is 4.615384615x.  Take half its coefficient (2.307692308).
Square it (5.325443788) and add it to both sides.

Add '5.325443788' to each side of the equation.
4.615384615x + 5.325443788 + x2 = 6.076923077 + 5.325443788

Reorder the terms:
5.325443788 + 4.615384615x + x2 = 6.076923077 + 5.325443788

Combine like terms: 6.076923077 + 5.325443788 = 11.402366865
5.325443788 + 4.615384615x + x2 = 11.402366865

Factor a perfect square on the left side:
(x + 2.307692308)(x + 2.307692308) = 11.402366865

Calculate the square root of the right side: 3.376739087

Break this problem into two subproblems by setting 
(x + 2.307692308) equal to 3.376739087 and -3.376739087.


Subproblem 1
x + 2.307692308 = 3.376739087

Simplifying
x + 2.307692308 = 3.376739087

Reorder the terms:
2.307692308 + x = 3.376739087

Solving
2.307692308 + x = 3.376739087

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2.307692308' to each side of the equation.
2.307692308 + -2.307692308 + x = 3.376739087 + -2.307692308

Combine like terms: 2.307692308 + -2.307692308 = 0.000000000
0.000000000 + x = 3.376739087 + -2.307692308
x = 3.376739087 + -2.307692308

Combine like terms: 3.376739087 + -2.307692308 = 1.069046779
x = 1.069046779

Simplifying
x = 1.069046779


Subproblem 2
x + 2.307692308 = -3.376739087

Simplifying
x + 2.307692308 = -3.376739087

Reorder the terms:
2.307692308 + x = -3.376739087

Solving
2.307692308 + x = -3.376739087

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2.307692308' to each side of the equation.
2.307692308 + -2.307692308 + x = -3.376739087 + -2.307692308

Combine like terms: 2.307692308 + -2.307692308 = 0.000000000
0.000000000 + x = -3.376739087 + -2.307692308
x = -3.376739087 + -2.307692308

Combine like terms: -3.376739087 + -2.307692308 = -5.684431395
x = -5.684431395

Simplifying
x = -5.684431395


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.069046779, -5.684431395}

See similar equations:

| (4x+4)=(2y+120) | | -4x+3y=13 | | 9-3x-5-7x=6 | | (3+3i)(-7+4i)=0 | | 4+12x=100 | | (X-4)(x+1)=(x-3)(x-2) | | (2x+141)=(2x+23) | | y=(12-2x)/6 | | -74x=-15 | | -2=y+13 | | x^2-7x+50=0 | | 7208/220x | | y+6.5=3y-1.3 | | (12-2x)/6 | | 2-7x+7=3x-6-5x-15 | | -9=4x-9 | | 329=-7n-8(7+6n) | | 2d/120+1=3d/120 | | 9+10a=-70 | | 5x+4+3x+6=90 | | (2x+23)=(2x+141) | | 12.50+0.4L=14.75+0.25L | | 8-7i-2-4i=0 | | x/4+9=-5 | | 10d-6=d-15 | | 2y+5=12y-15 | | (z/-7)-13=-12 | | 10d-6=do-15 | | 190.00x+0.25m=382.50x | | x+4x+2(4x)=390 | | 150=6(6m+7) | | z/-7-13=-12 |

Equations solver categories