(-7x-5)(-6-10x)=

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Solution for (-7x-5)(-6-10x)= equation:


Simplifying
(-7x + -5)(-6 + -10x) = 0

Reorder the terms:
(-5 + -7x)(-6 + -10x) = 0

Multiply (-5 + -7x) * (-6 + -10x)
(-5(-6 + -10x) + -7x * (-6 + -10x)) = 0
((-6 * -5 + -10x * -5) + -7x * (-6 + -10x)) = 0
((30 + 50x) + -7x * (-6 + -10x)) = 0
(30 + 50x + (-6 * -7x + -10x * -7x)) = 0
(30 + 50x + (42x + 70x2)) = 0

Combine like terms: 50x + 42x = 92x
(30 + 92x + 70x2) = 0

Solving
30 + 92x + 70x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(15 + 46x + 35x2) = 0

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

Ignore the factor 2.

Subproblem 1

Set the factor '(5 + 7x)' equal to zero and attempt to solve: Simplifying 5 + 7x = 0 Solving 5 + 7x = 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 + 7x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = 0 + -5 7x = 0 + -5 Combine like terms: 0 + -5 = -5 7x = -5 Divide each side by '7'. x = -0.7142857143 Simplifying x = -0.7142857143

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 = {-0.7142857143, -0.6}

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