15x(x+3)=14x-10

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Solution for 15x(x+3)=14x-10 equation: 


Simplifying
15x(x + 3) = 14x + -10

Reorder the terms:
15x(3 + x) = 14x + -10
(3 * 15x + x * 15x) = 14x + -10
(45x + 15x2) = 14x + -10

Reorder the terms:
45x + 15x2 = -10 + 14x

Solving
45x + 15x2 = -10 + 14x

Solving for variable 'x'.

Reorder the terms:
10 + 45x + -14x + 15x2 = -10 + 14x + 10 + -14x

Combine like terms: 45x + -14x = 31x
10 + 31x + 15x2 = -10 + 14x + 10 + -14x

Reorder the terms:
10 + 31x + 15x2 = -10 + 10 + 14x + -14x

Combine like terms: -10 + 10 = 0
10 + 31x + 15x2 = 0 + 14x + -14x
10 + 31x + 15x2 = 14x + -14x

Combine like terms: 14x + -14x = 0
10 + 31x + 15x2 = 0

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


Subproblem 1
Set the factor '(5 + 3x)' equal to zero and attempt to solve:

Simplifying
5 + 3x = 0

Solving
5 + 3x = 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 + 3x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + 3x = 0 + -5
3x = 0 + -5

Combine like terms: 0 + -5 = -5
3x = -5

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667

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 = {-1.666666667, -0.4}

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