6-5(3-5(2-3x))x=9

Simple and best practice solution for 6-5(3-5(2-3x))x=9 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 6-5(3-5(2-3x))x=9 equation:


Simplifying
6 + -5(3 + -5(2 + -3x)) * x = 9
6 + -5(3 + (2 * -5 + -3x * -5)) * x = 9
6 + -5(3 + (-10 + 15x)) * x = 9

Combine like terms: 3 + -10 = -7
6 + -5(-7 + 15x) * x = 9

Reorder the terms for easier multiplication:
6 + -5x(-7 + 15x) = 9
6 + (-7 * -5x + 15x * -5x) = 9
6 + (35x + -75x2) = 9

Solving
6 + 35x + -75x2 = 9

Solving for variable 'x'.

Reorder the terms:
6 + -9 + 35x + -75x2 = 9 + -9

Combine like terms: 6 + -9 = -3
-3 + 35x + -75x2 = 9 + -9

Combine like terms: 9 + -9 = 0
-3 + 35x + -75x2 = 0

Begin completing the square.  Divide all terms by
-75 the coefficient of the squared term: 

Divide each side by '-75'.
0.04 + -0.4666666667x + x2 = 0

Move the constant term to the right:

Add '-0.04' to each side of the equation.
0.04 + -0.4666666667x + -0.04 + x2 = 0 + -0.04

Reorder the terms:
0.04 + -0.04 + -0.4666666667x + x2 = 0 + -0.04

Combine like terms: 0.04 + -0.04 = 0.00
0.00 + -0.4666666667x + x2 = 0 + -0.04
-0.4666666667x + x2 = 0 + -0.04

Combine like terms: 0 + -0.04 = -0.04
-0.4666666667x + x2 = -0.04

The x term is -0.4666666667x.  Take half its coefficient (-0.2333333334).
Square it (0.05444444448) and add it to both sides.

Add '0.05444444448' to each side of the equation.
-0.4666666667x + 0.05444444448 + x2 = -0.04 + 0.05444444448

Reorder the terms:
0.05444444448 + -0.4666666667x + x2 = -0.04 + 0.05444444448

Combine like terms: -0.04 + 0.05444444448 = 0.01444444448
0.05444444448 + -0.4666666667x + x2 = 0.01444444448

Factor a perfect square on the left side:
(x + -0.2333333334)(x + -0.2333333334) = 0.01444444448

Calculate the square root of the right side: 0.120185043

Break this problem into two subproblems by setting 
(x + -0.2333333334) equal to 0.120185043 and -0.120185043.

Subproblem 1

x + -0.2333333334 = 0.120185043 Simplifying x + -0.2333333334 = 0.120185043 Reorder the terms: -0.2333333334 + x = 0.120185043 Solving -0.2333333334 + x = 0.120185043 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2333333334' to each side of the equation. -0.2333333334 + 0.2333333334 + x = 0.120185043 + 0.2333333334 Combine like terms: -0.2333333334 + 0.2333333334 = 0.0000000000 0.0000000000 + x = 0.120185043 + 0.2333333334 x = 0.120185043 + 0.2333333334 Combine like terms: 0.120185043 + 0.2333333334 = 0.3535183764 x = 0.3535183764 Simplifying x = 0.3535183764

Subproblem 2

x + -0.2333333334 = -0.120185043 Simplifying x + -0.2333333334 = -0.120185043 Reorder the terms: -0.2333333334 + x = -0.120185043 Solving -0.2333333334 + x = -0.120185043 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.2333333334' to each side of the equation. -0.2333333334 + 0.2333333334 + x = -0.120185043 + 0.2333333334 Combine like terms: -0.2333333334 + 0.2333333334 = 0.0000000000 0.0000000000 + x = -0.120185043 + 0.2333333334 x = -0.120185043 + 0.2333333334 Combine like terms: -0.120185043 + 0.2333333334 = 0.1131482904 x = 0.1131482904 Simplifying x = 0.1131482904

Solution

The solution to the problem is based on the solutions from the subproblems. x = {0.3535183764, 0.1131482904}

See similar equations:

| -y=x^2-8x+1 | | y=31-10 | | -5x+2x=-18 | | 7(t-3)+5t=(2t+2)-8 | | 166=-2n+6(1-5n) | | n=34+39 | | 10=k+3+6k | | a^2-6a-12=-6 | | -3f+(-6)=105 | | b-17=82 | | (5+3i)-(12-11i)= | | 3y-2=5(y+3) | | 9.3=-0.01x^2+0.25x+8.84 | | k^2+14k-78=-10 | | 9x+36=8 | | 2k^2+5k-63= | | 6x-4=5x+3 | | -3*(-5)*(-3)*(-5)= | | 9x-6=7x+10 | | 8x-9x-3=24 | | 5(2x-5)-(4x-7)=-10 | | 4x+21=8x-3 | | 3(x-3)=x+19 | | -16x^2+32x+128=0 | | y=7x^3-3x^2-56x+24 | | 6x-48+18=3x-12 | | 4-3m^2-m^3=0 | | 70+14x=16x | | 6x+1=5+5x | | 3x+5(-3x-4)=-23-9x | | y=3x^3-4x^2-22x+21 | | 4n+3=6n-17 |

Equations solver categories