9(x-1)(x-1)-49=0

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Solution for 9(x-1)(x-1)-49=0 equation:


Simplifying
9(x + -1)(x + -1) + -49 = 0

Reorder the terms:
9(-1 + x)(x + -1) + -49 = 0

Reorder the terms:
9(-1 + x)(-1 + x) + -49 = 0

Multiply (-1 + x) * (-1 + x)
9(-1(-1 + x) + x(-1 + x)) + -49 = 0
9((-1 * -1 + x * -1) + x(-1 + x)) + -49 = 0
9((1 + -1x) + x(-1 + x)) + -49 = 0
9(1 + -1x + (-1 * x + x * x)) + -49 = 0
9(1 + -1x + (-1x + x2)) + -49 = 0

Combine like terms: -1x + -1x = -2x
9(1 + -2x + x2) + -49 = 0
(1 * 9 + -2x * 9 + x2 * 9) + -49 = 0
(9 + -18x + 9x2) + -49 = 0

Reorder the terms:
9 + -49 + -18x + 9x2 = 0

Combine like terms: 9 + -49 = -40
-40 + -18x + 9x2 = 0

Solving
-40 + -18x + 9x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-4 + -3x)(10 + -3x) = 0


Subproblem 1
Set the factor '(-4 + -3x)' equal to zero and attempt to solve:

Simplifying
-4 + -3x = 0

Solving
-4 + -3x = 0

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

Add '4' to each side of the equation.
-4 + 4 + -3x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -3x = 0 + 4
-3x = 0 + 4

Combine like terms: 0 + 4 = 4
-3x = 4

Divide each side by '-3'.
x = -1.333333333

Simplifying
x = -1.333333333

Subproblem 2
Set the factor '(10 + -3x)' equal to zero and attempt to solve:

Simplifying
10 + -3x = 0

Solving
10 + -3x = 0

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

Add '-10' to each side of the equation.
10 + -10 + -3x = 0 + -10

Combine like terms: 10 + -10 = 0
0 + -3x = 0 + -10
-3x = 0 + -10

Combine like terms: 0 + -10 = -10
-3x = -10

Divide each side by '-3'.
x = 3.333333333

Simplifying
x = 3.333333333
Solution
x = {-1.333333333, 3.333333333}

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