(x-3)(x+3)=6x-4

Simple and best practice solution for (x-3)(x+3)=6x-4 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-3)(x+3)=6x-4 equation:


Simplifying
(x + -3)(x + 3) = 6x + -4

Reorder the terms:
(-3 + x)(x + 3) = 6x + -4

Reorder the terms:
(-3 + x)(3 + x) = 6x + -4

Multiply (-3 + x) * (3 + x)
(-3(3 + x) + x(3 + x)) = 6x + -4
((3 * -3 + x * -3) + x(3 + x)) = 6x + -4
((-9 + -3x) + x(3 + x)) = 6x + -4
(-9 + -3x + (3 * x + x * x)) = 6x + -4
(-9 + -3x + (3x + x2)) = 6x + -4

Combine like terms: -3x + 3x = 0
(-9 + 0 + x2) = 6x + -4
(-9 + x2) = 6x + -4

Reorder the terms:
-9 + x2 = -4 + 6x

Solving
-9 + x2 = -4 + 6x

Solving for variable 'x'.

Reorder the terms:
-9 + 4 + -6x + x2 = -4 + 6x + 4 + -6x

Combine like terms: -9 + 4 = -5
-5 + -6x + x2 = -4 + 6x + 4 + -6x

Reorder the terms:
-5 + -6x + x2 = -4 + 4 + 6x + -6x

Combine like terms: -4 + 4 = 0
-5 + -6x + x2 = 0 + 6x + -6x
-5 + -6x + x2 = 6x + -6x

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

Begin completing the square.

Move the constant term to the right:

Add '5' to each side of the equation.
-5 + -6x + 5 + x2 = 0 + 5

Reorder the terms:
-5 + 5 + -6x + x2 = 0 + 5

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

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

The x term is -6x.  Take half its coefficient (-3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
-6x + 9 + x2 = 5 + 9

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

Combine like terms: 5 + 9 = 14
9 + -6x + x2 = 14

Factor a perfect square on the left side:
(x + -3)(x + -3) = 14

Calculate the square root of the right side: 3.741657387

Break this problem into two subproblems by setting 
(x + -3) equal to 3.741657387 and -3.741657387.

Subproblem 1

x + -3 = 3.741657387 Simplifying x + -3 = 3.741657387 Reorder the terms: -3 + x = 3.741657387 Solving -3 + x = 3.741657387 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x = 3.741657387 + 3 Combine like terms: -3 + 3 = 0 0 + x = 3.741657387 + 3 x = 3.741657387 + 3 Combine like terms: 3.741657387 + 3 = 6.741657387 x = 6.741657387 Simplifying x = 6.741657387

Subproblem 2

x + -3 = -3.741657387 Simplifying x + -3 = -3.741657387 Reorder the terms: -3 + x = -3.741657387 Solving -3 + x = -3.741657387 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + x = -3.741657387 + 3 Combine like terms: -3 + 3 = 0 0 + x = -3.741657387 + 3 x = -3.741657387 + 3 Combine like terms: -3.741657387 + 3 = -0.741657387 x = -0.741657387 Simplifying x = -0.741657387

Solution

The solution to the problem is based on the solutions from the subproblems. x = {6.741657387, -0.741657387}

See similar equations:

| 5y=80-8y | | 0.1374x+6.29=94.98 | | x^2-7x-28=0 | | 30w=9w^2+25 | | -52+6x=64+2x | | -3(6y+8)= | | 18x+5=365 | | -3y=2.58 | | (r/4)-1=4 | | x+3.1=7.5 | | (5u-6)(2-u)=0 | | -9046+x=-15671 | | -5u^2+16u-12=0 | | -9046-x=15671 | | z-13+x=180 | | -1.5x=-750 | | -2x-121=48+11x | | 3(x+9)-(5x-8)= | | y^2+23y=24 | | -14+9x=10+7x | | 3(x+9)-5x-8= | | 12x^5-20x^4+13x^3-17x^2+x+3=0 | | 3(x+9)=5x-8 | | v+(-22)=-42 | | (2x-5)(x)=35 | | m^2-m+8=0 | | 14-3m=-5 | | -32t+176=0 | | 0.5y+5=-13 | | x/2.4-0.03=0.14 | | (y+4)(3y-5)=0 | | y^2=11y |

Equations solver categories