2(x-1)(x-1)+7=39

Simple and best practice solution for 2(x-1)(x-1)+7=39 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 2(x-1)(x-1)+7=39 equation: 


Simplifying
2(x + -1)(x + -1) + 7 = 39

Reorder the terms:
2(-1 + x)(x + -1) + 7 = 39

Reorder the terms:
2(-1 + x)(-1 + x) + 7 = 39

Multiply (-1 + x) * (-1 + x)
2(-1(-1 + x) + x(-1 + x)) + 7 = 39
2((-1 * -1 + x * -1) + x(-1 + x)) + 7 = 39
2((1 + -1x) + x(-1 + x)) + 7 = 39
2(1 + -1x + (-1 * x + x * x)) + 7 = 39
2(1 + -1x + (-1x + x2)) + 7 = 39

Combine like terms: -1x + -1x = -2x
2(1 + -2x + x2) + 7 = 39
(1 * 2 + -2x * 2 + x2 * 2) + 7 = 39
(2 + -4x + 2x2) + 7 = 39

Reorder the terms:
2 + 7 + -4x + 2x2 = 39

Combine like terms: 2 + 7 = 9
9 + -4x + 2x2 = 39

Solving
9 + -4x + 2x2 = 39

Solving for variable 'x'.

Reorder the terms:
9 + -39 + -4x + 2x2 = 39 + -39

Combine like terms: 9 + -39 = -30
-30 + -4x + 2x2 = 39 + -39

Combine like terms: 39 + -39 = 0
-30 + -4x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-15 + -2x + x2) = 0

Factor a trinomial.
2((-3 + -1x)(5 + -1x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-3 + -1x)' equal to zero and attempt to solve:

Simplifying
-3 + -1x = 0

Solving
-3 + -1x = 0

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

Add '3' to each side of the equation.
-3 + 3 + -1x = 0 + 3

Combine like terms: -3 + 3 = 0
0 + -1x = 0 + 3
-1x = 0 + 3

Combine like terms: 0 + 3 = 3
-1x = 3

Divide each side by '-1'.
x = -3

Simplifying
x = -3

Subproblem 2
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 0

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

Add '-5' to each side of the equation.
5 + -5 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5
Solution
x = {-3, 5}

See similar equations:

| 4y+3/8=5y+7/8 | | 7+2Y=82-Y | | 4+3=3+4 | | y=0.4x-4 | | -5(t-1)+9t=8t-6 | | 4(6a-1)+4=2a | | 3(x+1)/4=2x-5 | | x-2(3-2x)=9 | | 4(6a-15)+4= | | a+70+c=790 | | y=4x-0.4 | | 4p-6=2(m-2p) | | (-19+7)=12 | | (4p-8)-(p-1)= | | 3+15k^2= | | 4x^4+32x^2=0 | | y=-4x+0.4 | | 6-15(5t+6)=t+6-(7+8)+1-2 | | 4x^4+32x^6=0 | | 5x^4-18x^2+9=0 | | y=(2k^2-8)x+2k+1 | | 6-15(5t+6)=t+6-(7+8)+8 | | 6-15(5t+6)=t+6-(7+8)+1 | | s=m+36.32 | | 2y+3x=24 | | 8h-25=47 | | 6-15(5t+6)=t+6-(7+8) | | 8m-15=49 | | 6-15(5+6)= | | 4x^4+32x^3=0 | | -5b+5b^4-10b=0 | | 6(4a-7)+(4a-15)=4(0-0)+28 |

Equations solver categories