(5x+3)(3x-42)=

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Solution for (5x+3)(3x-42)= equation:


Simplifying
(5x + 3)(3x + -42) = 0

Reorder the terms:
(3 + 5x)(3x + -42) = 0

Reorder the terms:
(3 + 5x)(-42 + 3x) = 0

Multiply (3 + 5x) * (-42 + 3x)
(3(-42 + 3x) + 5x * (-42 + 3x)) = 0
((-42 * 3 + 3x * 3) + 5x * (-42 + 3x)) = 0
((-126 + 9x) + 5x * (-42 + 3x)) = 0
(-126 + 9x + (-42 * 5x + 3x * 5x)) = 0
(-126 + 9x + (-210x + 15x2)) = 0

Combine like terms: 9x + -210x = -201x
(-126 + -201x + 15x2) = 0

Solving
-126 + -201x + 15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-42 + -67x + 5x2) = 0

Factor a trinomial.
3((-3 + -5x)(14 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
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

Subproblem 2
Set the factor '(14 + -1x)' equal to zero and attempt to solve:

Simplifying
14 + -1x = 0

Solving
14 + -1x = 0

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

Add '-14' to each side of the equation.
14 + -14 + -1x = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -1x = 0 + -14
-1x = 0 + -14

Combine like terms: 0 + -14 = -14
-1x = -14

Divide each side by '-1'.
x = 14

Simplifying
x = 14
Solution
x = {-0.6, 14}

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