0=15x^2-34x-16

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Solution for 0=15x^2-34x-16 equation: 


Simplifying
0 = 15x2 + -34x + -16

Reorder the terms:
0 = -16 + -34x + 15x2

Solving
0 = -16 + -34x + 15x2

Solving for variable 'x'.

Combine like terms: 0 + 16 = 16
16 + 34x + -15x2 = -16 + -34x + 15x2 + 16 + 34x + -15x2

Reorder the terms:
16 + 34x + -15x2 = -16 + 16 + -34x + 34x + 15x2 + -15x2

Combine like terms: -16 + 16 = 0
16 + 34x + -15x2 = 0 + -34x + 34x + 15x2 + -15x2
16 + 34x + -15x2 = -34x + 34x + 15x2 + -15x2

Combine like terms: -34x + 34x = 0
16 + 34x + -15x2 = 0 + 15x2 + -15x2
16 + 34x + -15x2 = 15x2 + -15x2

Combine like terms: 15x2 + -15x2 = 0
16 + 34x + -15x2 = 0

Factor a trinomial.
(8 + -3x)(2 + 5x) = 0


Subproblem 1
Set the factor '(8 + -3x)' equal to zero and attempt to solve:

Simplifying
8 + -3x = 0

Solving
8 + -3x = 0

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

Add '-8' to each side of the equation.
8 + -8 + -3x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -3x = 0 + -8
-3x = 0 + -8

Combine like terms: 0 + -8 = -8
-3x = -8

Divide each side by '-3'.
x = 2.666666667

Simplifying
x = 2.666666667

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

Simplifying
2 + 5x = 0

Solving
2 + 5x = 0

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

Add '-2' to each side of the equation.
2 + -2 + 5x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 5x = 0 + -2
5x = 0 + -2

Combine like terms: 0 + -2 = -2
5x = -2

Divide each side by '5'.
x = -0.4

Simplifying
x = -0.4
Solution
x = {2.666666667, -0.4}

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