15x^2+32x-28=0

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Solution for 15x^2+32x-28=0 equation: 


Simplifying
15x2 + 32x + -28 = 0

Reorder the terms:
-28 + 32x + 15x2 = 0

Solving
-28 + 32x + 15x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-14 + -5x)(2 + -3x) = 0


Subproblem 1
Set the factor '(-14 + -5x)' equal to zero and attempt to solve:

Simplifying
-14 + -5x = 0

Solving
-14 + -5x = 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 + -5x = 0 + 14

Combine like terms: -14 + 14 = 0
0 + -5x = 0 + 14
-5x = 0 + 14

Combine like terms: 0 + 14 = 14
-5x = 14

Divide each side by '-5'.
x = -2.8

Simplifying
x = -2.8

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

Simplifying
2 + -3x = 0

Solving
2 + -3x = 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 + -3x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -3x = 0 + -2
-3x = 0 + -2

Combine like terms: 0 + -2 = -2
-3x = -2

Divide each side by '-3'.
x = 0.6666666667

Simplifying
x = 0.6666666667
Solution
x = {-2.8, 0.6666666667}

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