(50x+15)(7x-3)=

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Solution for (50x+15)(7x-3)= equation:


Simplifying
(50x + 15)(7x + -3) = 0

Reorder the terms:
(15 + 50x)(7x + -3) = 0

Reorder the terms:
(15 + 50x)(-3 + 7x) = 0

Multiply (15 + 50x) * (-3 + 7x)
(15(-3 + 7x) + 50x * (-3 + 7x)) = 0
((-3 * 15 + 7x * 15) + 50x * (-3 + 7x)) = 0
((-45 + 105x) + 50x * (-3 + 7x)) = 0
(-45 + 105x + (-3 * 50x + 7x * 50x)) = 0
(-45 + 105x + (-150x + 350x2)) = 0

Combine like terms: 105x + -150x = -45x
(-45 + -45x + 350x2) = 0

Solving
-45 + -45x + 350x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(-9 + -9x + 70x2) = 0

Factor a trinomial.
5((-3 + -10x)(3 + -7x)) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(-3 + -10x)' equal to zero and attempt to solve: Simplifying -3 + -10x = 0 Solving -3 + -10x = 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 + -10x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -10x = 0 + 3 -10x = 0 + 3 Combine like terms: 0 + 3 = 3 -10x = 3 Divide each side by '-10'. x = -0.3 Simplifying x = -0.3

Subproblem 2

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

Solution

x = {-0.3, 0.4285714286}

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