-15x^2+31x-14=0

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Solution for -15x^2+31x-14=0 equation: 


Simplifying
-15x2 + 31x + -14 = 0

Reorder the terms:
-14 + 31x + -15x2 = 0

Solving
-14 + 31x + -15x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + 5x)(2 + -3x) = 0


Subproblem 1
Set the factor '(-7 + 5x)' equal to zero and attempt to solve:

Simplifying
-7 + 5x = 0

Solving
-7 + 5x = 0

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

Add '7' to each side of the equation.
-7 + 7 + 5x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + 5x = 0 + 7
5x = 0 + 7

Combine like terms: 0 + 7 = 7
5x = 7

Divide each side by '5'.
x = 1.4

Simplifying
x = 1.4

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 = {1.4, 0.6666666667}

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