5x(-7-2x)=5-2(10+17x^2)+3x

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Solution for 5x(-7-2x)=5-2(10+17x^2)+3x equation: 


Simplifying
5x(-7 + -2x) = 5 + -2(10 + 17x2) + 3x
(-7 * 5x + -2x * 5x) = 5 + -2(10 + 17x2) + 3x
(-35x + -10x2) = 5 + -2(10 + 17x2) + 3x
-35x + -10x2 = 5 + (10 * -2 + 17x2 * -2) + 3x
-35x + -10x2 = 5 + (-20 + -34x2) + 3x

Reorder the terms:
-35x + -10x2 = 5 + -20 + 3x + -34x2

Combine like terms: 5 + -20 = -15
-35x + -10x2 = -15 + 3x + -34x2

Solving
-35x + -10x2 = -15 + 3x + -34x2

Solving for variable 'x'.

Reorder the terms:
15 + -35x + -3x + -10x2 + 34x2 = -15 + 3x + -34x2 + 15 + -3x + 34x2

Combine like terms: -35x + -3x = -38x
15 + -38x + -10x2 + 34x2 = -15 + 3x + -34x2 + 15 + -3x + 34x2

Combine like terms: -10x2 + 34x2 = 24x2
15 + -38x + 24x2 = -15 + 3x + -34x2 + 15 + -3x + 34x2

Reorder the terms:
15 + -38x + 24x2 = -15 + 15 + 3x + -3x + -34x2 + 34x2

Combine like terms: -15 + 15 = 0
15 + -38x + 24x2 = 0 + 3x + -3x + -34x2 + 34x2
15 + -38x + 24x2 = 3x + -3x + -34x2 + 34x2

Combine like terms: 3x + -3x = 0
15 + -38x + 24x2 = 0 + -34x2 + 34x2
15 + -38x + 24x2 = -34x2 + 34x2

Combine like terms: -34x2 + 34x2 = 0
15 + -38x + 24x2 = 0

Factor a trinomial.
(3 + -4x)(5 + -6x) = 0


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

Simplifying
3 + -4x = 0

Solving
3 + -4x = 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 + -4x = 0 + -3

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

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

Divide each side by '-4'.
x = 0.75

Simplifying
x = 0.75

Subproblem 2
Set the factor '(5 + -6x)' equal to zero and attempt to solve:

Simplifying
5 + -6x = 0

Solving
5 + -6x = 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 + -6x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -6x = 0 + -5
-6x = 0 + -5

Combine like terms: 0 + -5 = -5
-6x = -5

Divide each side by '-6'.
x = 0.8333333333

Simplifying
x = 0.8333333333
Solution
x = {0.75, 0.8333333333}

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