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Simplifying
5x(3x + 7x) = 5x(25x + -5x)
Combine like terms: 3x + 7x = 10x
5x(10x) = 5x(25x + -5x)
Remove parenthesis around (10x)
5x * 10x = 5x(25x + -5x)
Reorder the terms for easier multiplication:
5 * 10x * x = 5x(25x + -5x)
Multiply 5 * 10
50x * x = 5x(25x + -5x)
Multiply x * x
50x2 = 5x(25x + -5x)
Combine like terms: 25x + -5x = 20x
50x2 = 5x(20x)
Remove parenthesis around (20x)
50x2 = 5x * 20x
Reorder the terms for easier multiplication:
50x2 = 5 * 20x * x
Multiply 5 * 20
50x2 = 100x * x
Multiply x * x
50x2 = 100x2
Solving
50x2 = 100x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-100x2' to each side of the equation.
50x2 + -100x2 = 100x2 + -100x2
Combine like terms: 50x2 + -100x2 = -50x2
-50x2 = 100x2 + -100x2
Combine like terms: 100x2 + -100x2 = 0
-50x2 = 0
Divide each side by '-50'.
x2 = 0
Simplifying
x2 = 0
Take the square root of each side:
x = {0}
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