(-5x-10)(7x-3)=0

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Solution for (-5x-10)(7x-3)=0 equation: 


Simplifying
(-5x + -10)(7x + -3) = 0

Reorder the terms:
(-10 + -5x)(7x + -3) = 0

Reorder the terms:
(-10 + -5x)(-3 + 7x) = 0

Multiply (-10 + -5x) * (-3 + 7x)
(-10(-3 + 7x) + -5x * (-3 + 7x)) = 0
((-3 * -10 + 7x * -10) + -5x * (-3 + 7x)) = 0
((30 + -70x) + -5x * (-3 + 7x)) = 0
(30 + -70x + (-3 * -5x + 7x * -5x)) = 0
(30 + -70x + (15x + -35x2)) = 0

Combine like terms: -70x + 15x = -55x
(30 + -55x + -35x2) = 0

Solving
30 + -55x + -35x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(6 + -11x + -7x2) = 0

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

Ignore the factor 5.

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

Simplifying
3 + -7x = 0

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

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

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

Divide each side by '-7'.
x = 0.4285714286

Simplifying
x = 0.4285714286

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

Simplifying
2 + x = 0

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

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

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

Simplifying
x = -2
Solution
x = {0.4285714286, -2}

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