-1x(2x-3)-(-1)-2=5(x-1)2

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Solution for -1x(2x-3)-(-1)-2=5(x-1)2 equation: 


Simplifying
-1x(2x + -3) + -1(-1) + -2 = 5(x + -1) * 2

Reorder the terms:
-1x(-3 + 2x) + -1(-1) + -2 = 5(x + -1) * 2
(-3 * -1x + 2x * -1x) + -1(-1) + -2 = 5(x + -1) * 2
(3x + -2x2) + -1(-1) + -2 = 5(x + -1) * 2

Multiply -1 * -1
3x + -2x2 + 1 + -2 = 5(x + -1) * 2

Reorder the terms:
1 + -2 + 3x + -2x2 = 5(x + -1) * 2

Combine like terms: 1 + -2 = -1
-1 + 3x + -2x2 = 5(x + -1) * 2

Reorder the terms:
-1 + 3x + -2x2 = 5(-1 + x) * 2

Reorder the terms for easier multiplication:
-1 + 3x + -2x2 = 5 * 2(-1 + x)

Multiply 5 * 2
-1 + 3x + -2x2 = 10(-1 + x)
-1 + 3x + -2x2 = (-1 * 10 + x * 10)
-1 + 3x + -2x2 = (-10 + 10x)

Solving
-1 + 3x + -2x2 = -10 + 10x

Solving for variable 'x'.

Reorder the terms:
-1 + 10 + 3x + -10x + -2x2 = -10 + 10x + 10 + -10x

Combine like terms: -1 + 10 = 9
9 + 3x + -10x + -2x2 = -10 + 10x + 10 + -10x

Combine like terms: 3x + -10x = -7x
9 + -7x + -2x2 = -10 + 10x + 10 + -10x

Reorder the terms:
9 + -7x + -2x2 = -10 + 10 + 10x + -10x

Combine like terms: -10 + 10 = 0
9 + -7x + -2x2 = 0 + 10x + -10x
9 + -7x + -2x2 = 10x + -10x

Combine like terms: 10x + -10x = 0
9 + -7x + -2x2 = 0

Factor a trinomial.
(1 + -1x)(9 + 2x) = 0


Subproblem 1
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

Subproblem 2
Set the factor '(9 + 2x)' equal to zero and attempt to solve:

Simplifying
9 + 2x = 0

Solving
9 + 2x = 0

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

Add '-9' to each side of the equation.
9 + -9 + 2x = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 2x = 0 + -9
2x = 0 + -9

Combine like terms: 0 + -9 = -9
2x = -9

Divide each side by '2'.
x = -4.5

Simplifying
x = -4.5
Solution
x = {1, -4.5}

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