15x^2-24x+35x-56=0

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Solution for 15x^2-24x+35x-56=0 equation: 


Simplifying
15x2 + -24x + 35x + -56 = 0

Reorder the terms:
-56 + -24x + 35x + 15x2 = 0

Combine like terms: -24x + 35x = 11x
-56 + 11x + 15x2 = 0

Solving
-56 + 11x + 15x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -3x)(8 + -5x) = 0


Subproblem 1
Set the factor '(-7 + -3x)' equal to zero and attempt to solve:

Simplifying
-7 + -3x = 0

Solving
-7 + -3x = 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 + -3x = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -3x = 0 + 7
-3x = 0 + 7

Combine like terms: 0 + 7 = 7
-3x = 7

Divide each side by '-3'.
x = -2.333333333

Simplifying
x = -2.333333333

Subproblem 2
Set the factor '(8 + -5x)' equal to zero and attempt to solve:

Simplifying
8 + -5x = 0

Solving
8 + -5x = 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 + -5x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -5x = 0 + -8
-5x = 0 + -8

Combine like terms: 0 + -8 = -8
-5x = -8

Divide each side by '-5'.
x = 1.6

Simplifying
x = 1.6
Solution
x = {-2.333333333, 1.6}

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