10-(15-2x)=3(2x-7-2)(9-x)

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Solution for 10-(15-2x)=3(2x-7-2)(9-x) equation: 


Simplifying
10 + -1(15 + -2x) = 3(2x + -7 + -2)(9 + -1x)
10 + (15 * -1 + -2x * -1) = 3(2x + -7 + -2)(9 + -1x)
10 + (-15 + 2x) = 3(2x + -7 + -2)(9 + -1x)

Combine like terms: 10 + -15 = -5
-5 + 2x = 3(2x + -7 + -2)(9 + -1x)

Reorder the terms:
-5 + 2x = 3(-7 + -2 + 2x)(9 + -1x)

Combine like terms: -7 + -2 = -9
-5 + 2x = 3(-9 + 2x)(9 + -1x)

Multiply (-9 + 2x) * (9 + -1x)
-5 + 2x = 3(-9(9 + -1x) + 2x * (9 + -1x))
-5 + 2x = 3((9 * -9 + -1x * -9) + 2x * (9 + -1x))
-5 + 2x = 3((-81 + 9x) + 2x * (9 + -1x))
-5 + 2x = 3(-81 + 9x + (9 * 2x + -1x * 2x))
-5 + 2x = 3(-81 + 9x + (18x + -2x2))

Combine like terms: 9x + 18x = 27x
-5 + 2x = 3(-81 + 27x + -2x2)
-5 + 2x = (-81 * 3 + 27x * 3 + -2x2 * 3)
-5 + 2x = (-243 + 81x + -6x2)

Solving
-5 + 2x = -243 + 81x + -6x2

Solving for variable 'x'.

Reorder the terms:
-5 + 243 + 2x + -81x + 6x2 = -243 + 81x + -6x2 + 243 + -81x + 6x2

Combine like terms: -5 + 243 = 238
238 + 2x + -81x + 6x2 = -243 + 81x + -6x2 + 243 + -81x + 6x2

Combine like terms: 2x + -81x = -79x
238 + -79x + 6x2 = -243 + 81x + -6x2 + 243 + -81x + 6x2

Reorder the terms:
238 + -79x + 6x2 = -243 + 243 + 81x + -81x + -6x2 + 6x2

Combine like terms: -243 + 243 = 0
238 + -79x + 6x2 = 0 + 81x + -81x + -6x2 + 6x2
238 + -79x + 6x2 = 81x + -81x + -6x2 + 6x2

Combine like terms: 81x + -81x = 0
238 + -79x + 6x2 = 0 + -6x2 + 6x2
238 + -79x + 6x2 = -6x2 + 6x2

Combine like terms: -6x2 + 6x2 = 0
238 + -79x + 6x2 = 0

Factor a trinomial.
(14 + -3x)(17 + -2x) = 0


Subproblem 1
Set the factor '(14 + -3x)' equal to zero and attempt to solve:

Simplifying
14 + -3x = 0

Solving
14 + -3x = 0

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

Add '-14' to each side of the equation.
14 + -14 + -3x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -3x = 0 + -14
-3x = 0 + -14

Combine like terms: 0 + -14 = -14
-3x = -14

Divide each side by '-3'.
x = 4.666666667

Simplifying
x = 4.666666667

Subproblem 2
Set the factor '(17 + -2x)' equal to zero and attempt to solve:

Simplifying
17 + -2x = 0

Solving
17 + -2x = 0

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

Add '-17' to each side of the equation.
17 + -17 + -2x = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -2x = 0 + -17
-2x = 0 + -17

Combine like terms: 0 + -17 = -17
-2x = -17

Divide each side by '-2'.
x = 8.5

Simplifying
x = 8.5
Solution
x = {4.666666667, 8.5}

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