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Simplifying
(6x + -3)(3x + 5) = 3(7x + -5)
Reorder the terms:
(-3 + 6x)(3x + 5) = 3(7x + -5)
Reorder the terms:
(-3 + 6x)(5 + 3x) = 3(7x + -5)
Multiply (-3 + 6x) * (5 + 3x)
(-3(5 + 3x) + 6x * (5 + 3x)) = 3(7x + -5)
((5 * -3 + 3x * -3) + 6x * (5 + 3x)) = 3(7x + -5)
((-15 + -9x) + 6x * (5 + 3x)) = 3(7x + -5)
(-15 + -9x + (5 * 6x + 3x * 6x)) = 3(7x + -5)
(-15 + -9x + (30x + 18x2)) = 3(7x + -5)
Combine like terms: -9x + 30x = 21x
(-15 + 21x + 18x2) = 3(7x + -5)
Reorder the terms:
-15 + 21x + 18x2 = 3(-5 + 7x)
-15 + 21x + 18x2 = (-5 * 3 + 7x * 3)
-15 + 21x + 18x2 = (-15 + 21x)
Add '15' to each side of the equation.
-15 + 21x + 15 + 18x2 = -15 + 15 + 21x
Reorder the terms:
-15 + 15 + 21x + 18x2 = -15 + 15 + 21x
Combine like terms: -15 + 15 = 0
0 + 21x + 18x2 = -15 + 15 + 21x
21x + 18x2 = -15 + 15 + 21x
Combine like terms: -15 + 15 = 0
21x + 18x2 = 0 + 21x
21x + 18x2 = 21x
Add '-21x' to each side of the equation.
21x + -21x + 18x2 = 21x + -21x
Combine like terms: 21x + -21x = 0
0 + 18x2 = 21x + -21x
18x2 = 21x + -21x
Combine like terms: 21x + -21x = 0
18x2 = 0
Solving
18x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '18'.
x2 = 0
Simplifying
x2 = 0
Take the square root of each side:
x = {0}
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