x*x=(4-3x)(4-3x)

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


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

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

Multiply (4 + -3x) * (4 + -3x)
x2 = (4(4 + -3x) + -3x * (4 + -3x))
x2 = ((4 * 4 + -3x * 4) + -3x * (4 + -3x))
x2 = ((16 + -12x) + -3x * (4 + -3x))
x2 = (16 + -12x + (4 * -3x + -3x * -3x))
x2 = (16 + -12x + (-12x + 9x2))

Combine like terms: -12x + -12x = -24x
x2 = (16 + -24x + 9x2)

Solving
x2 = 16 + -24x + 9x2

Solving for variable 'x'.

Reorder the terms:
-16 + 24x + x2 + -9x2 = 16 + -24x + 9x2 + -16 + 24x + -9x2

Combine like terms: x2 + -9x2 = -8x2
-16 + 24x + -8x2 = 16 + -24x + 9x2 + -16 + 24x + -9x2

Reorder the terms:
-16 + 24x + -8x2 = 16 + -16 + -24x + 24x + 9x2 + -9x2

Combine like terms: 16 + -16 = 0
-16 + 24x + -8x2 = 0 + -24x + 24x + 9x2 + -9x2
-16 + 24x + -8x2 = -24x + 24x + 9x2 + -9x2

Combine like terms: -24x + 24x = 0
-16 + 24x + -8x2 = 0 + 9x2 + -9x2
-16 + 24x + -8x2 = 9x2 + -9x2

Combine like terms: 9x2 + -9x2 = 0
-16 + 24x + -8x2 = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(-2 + 3x + -1x2) = 0

Factor a trinomial.
8((-2 + x)(1 + -1x)) = 0

Ignore the factor 8.

Subproblem 1
Set the factor '(-2 + x)' equal to zero and attempt to solve:

Simplifying
-2 + x = 0

Solving
-2 + x = 0

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

Add '2' to each side of the equation.
-2 + 2 + x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + x = 0 + 2
x = 0 + 2

Combine like terms: 0 + 2 = 2
x = 2

Simplifying
x = 2

Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve:

Simplifying
1 + -1x = 0

Solving
1 + -1x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1x = 0 + -1
-1x = 0 + -1

Combine like terms: 0 + -1 = -1
-1x = -1

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {2, 1}

See similar equations:

| 65x-12= | | 3x+7+5x=7x+10 | | 4/5m=2/9/4/5 | | 3x^2-6x-47=0 | | 4y+2x-1y-1x= | | 4t-6=-54 | | (31x-7)=66 | | -7x+4x+16-12x= | | 4x+11=5c-10 | | (4x+2)(6x-4)= | | (-5x-2)(-4x-3)= | | 3/4x7 | | 7x-6=10x-9 | | 8/5/5/3 | | X-15y=45 | | 10xsquare+37x=5 | | (-2r+7)(6r-3)= | | 5x-10/x^2-2x-8=1/2x-8 | | 18-2(3*2)= | | -12x+3y=-16 | | m/9=-18 | | 6x-4x+8(x+4)-32=0 | | -5+w=40 | | X+7=2x+13 | | 9x+18+9=0 | | 5(2j+1)=6(j+2) | | (-5m+3)(7m-6)= | | 9x+6=7x+5 | | 18x^2+81x-45=0 | | 4(4+5)= | | -2a+8+4a=6a-8a | | 2(30)+2x=96 |

Equations solver categories