(5x-3)(6x+10)=

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Solution for (5x-3)(6x+10)= equation: 


Simplifying
(5x + -3)(6x + 10) = 0

Reorder the terms:
(-3 + 5x)(6x + 10) = 0

Reorder the terms:
(-3 + 5x)(10 + 6x) = 0

Multiply (-3 + 5x) * (10 + 6x)
(-3(10 + 6x) + 5x * (10 + 6x)) = 0
((10 * -3 + 6x * -3) + 5x * (10 + 6x)) = 0
((-30 + -18x) + 5x * (10 + 6x)) = 0
(-30 + -18x + (10 * 5x + 6x * 5x)) = 0
(-30 + -18x + (50x + 30x2)) = 0

Combine like terms: -18x + 50x = 32x
(-30 + 32x + 30x2) = 0

Solving
-30 + 32x + 30x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(-15 + 16x + 15x2) = 0

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

Ignore the factor 2.

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 '(3 + -5x)' equal to zero and attempt to solve:

Simplifying
3 + -5x = 0

Solving
3 + -5x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -5x = 0 + -3

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

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

Divide each side by '-5'.
x = 0.6

Simplifying
x = 0.6
Solution
x = {-1.666666667, 0.6}

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