(3x-1)(3x-1)-10=

Simple and best practice solution for (3x-1)(3x-1)-10= 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 (3x-1)(3x-1)-10= equation:


Simplifying
(3x + -1)(3x + -1) + -10 = 0

Reorder the terms:
(-1 + 3x)(3x + -1) + -10 = 0

Reorder the terms:
(-1 + 3x)(-1 + 3x) + -10 = 0

Multiply (-1 + 3x) * (-1 + 3x)
(-1(-1 + 3x) + 3x * (-1 + 3x)) + -10 = 0
((-1 * -1 + 3x * -1) + 3x * (-1 + 3x)) + -10 = 0
((1 + -3x) + 3x * (-1 + 3x)) + -10 = 0
(1 + -3x + (-1 * 3x + 3x * 3x)) + -10 = 0
(1 + -3x + (-3x + 9x2)) + -10 = 0

Combine like terms: -3x + -3x = -6x
(1 + -6x + 9x2) + -10 = 0

Reorder the terms:
1 + -10 + -6x + 9x2 = 0

Combine like terms: 1 + -10 = -9
-9 + -6x + 9x2 = 0

Solving
-9 + -6x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-3 + -2x + 3x2) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-3 + -2x + 3x2)' equal to zero and attempt to solve: Simplifying -3 + -2x + 3x2 = 0 Solving -3 + -2x + 3x2 = 0 Begin completing the square. Divide all terms by 3 the coefficient of the squared term: Divide each side by '3'. -1 + -0.6666666667x + x2 = 0 Move the constant term to the right: Add '1' to each side of the equation. -1 + -0.6666666667x + 1 + x2 = 0 + 1 Reorder the terms: -1 + 1 + -0.6666666667x + x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -0.6666666667x + x2 = 0 + 1 -0.6666666667x + x2 = 0 + 1 Combine like terms: 0 + 1 = 1 -0.6666666667x + x2 = 1 The x term is -0.6666666667x. Take half its coefficient (-0.3333333334). Square it (0.1111111112) and add it to both sides. Add '0.1111111112' to each side of the equation. -0.6666666667x + 0.1111111112 + x2 = 1 + 0.1111111112 Reorder the terms: 0.1111111112 + -0.6666666667x + x2 = 1 + 0.1111111112 Combine like terms: 1 + 0.1111111112 = 1.1111111112 0.1111111112 + -0.6666666667x + x2 = 1.1111111112 Factor a perfect square on the left side: (x + -0.3333333334)(x + -0.3333333334) = 1.1111111112 Calculate the square root of the right side: 1.054092553 Break this problem into two subproblems by setting (x + -0.3333333334) equal to 1.054092553 and -1.054092553.

Subproblem 1

x + -0.3333333334 = 1.054092553 Simplifying x + -0.3333333334 = 1.054092553 Reorder the terms: -0.3333333334 + x = 1.054092553 Solving -0.3333333334 + x = 1.054092553 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.3333333334' to each side of the equation. -0.3333333334 + 0.3333333334 + x = 1.054092553 + 0.3333333334 Combine like terms: -0.3333333334 + 0.3333333334 = 0.0000000000 0.0000000000 + x = 1.054092553 + 0.3333333334 x = 1.054092553 + 0.3333333334 Combine like terms: 1.054092553 + 0.3333333334 = 1.3874258864 x = 1.3874258864 Simplifying x = 1.3874258864

Subproblem 2

x + -0.3333333334 = -1.054092553 Simplifying x + -0.3333333334 = -1.054092553 Reorder the terms: -0.3333333334 + x = -1.054092553 Solving -0.3333333334 + x = -1.054092553 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.3333333334' to each side of the equation. -0.3333333334 + 0.3333333334 + x = -1.054092553 + 0.3333333334 Combine like terms: -0.3333333334 + 0.3333333334 = 0.0000000000 0.0000000000 + x = -1.054092553 + 0.3333333334 x = -1.054092553 + 0.3333333334 Combine like terms: -1.054092553 + 0.3333333334 = -0.7207592196 x = -0.7207592196 Simplifying x = -0.7207592196

Solution

The solution to the problem is based on the solutions from the subproblems. x = {1.3874258864, -0.7207592196}

Solution

x = {1.3874258864, -0.7207592196}

See similar equations:

| 3r^2-8r-24r+64=0 | | 9+9x=17+x | | 6(2x-3)+4=-(-18) | | 3x+9=x+17 | | -0.3+1.6=1.6w+1.6w | | 1200*0.08= | | y=(e^2x)*(cos(4*x)) | | t/-11=11 | | y=e^2xcos(4x) | | T/25=8 | | 4z=3.5 | | x^4+4*x^3+8*x^2+8*x+4=0 | | 10x-20=5x+11 | | s^2+5s+8s+40=0 | | x^2+13=30 | | B*16=64 | | 30a^2+a-20=0 | | t+12=48 | | 4x+9x-(6x+9)= | | ((256x^12)(y^20))^1/4 | | 12x=9+y | | (256x^12y^20)^1/4 | | x=0.75+0.08333333333y | | 6x+19=28+6x | | -3y+4+5y=-b | | 2x-1+6x+18=90/36 | | =-18w+12+5w | | 8z=-7 | | 11(2x+3)=5(4x+11) | | 7x+4(-3)=2 | | -3=-2+x | | =-18w+12+5 |

Equations solver categories