Question
Solve the equation
x=0
Evaluate
(3×5x)−(2×3x)×51=0
Remove the parentheses
(3×5x)−2×3x×51=0
Simplify
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Evaluate
(3×5x)−2×3x×51
Multiply the terms
53x−2×3x×51
Multiply
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Multiply the terms
2×3x×51
Multiply the numbers
52×3x
Multiply the terms
5×32x
Multiply the terms
152x
53x−152x
53x−152x=0
Multiply both sides of the equation by LCD
(53x−152x)×15=0×15
Simplify the equation
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Evaluate
(53x−152x)×15
Apply the distributive property
53x×15−152x×15
Simplify
3x×3−2x
Multiply the numbers
9x−2x
Collect like terms by calculating the sum or difference of their coefficients
(9−2)x
Subtract the numbers
7x
7x=0×15
Any expression multiplied by 0 equals 0
7x=0
Solution
x=0
Show Solution

Rewrite the equation
x=0
Evaluate
(3×5x)−(2×3x)×51=0
Evaluate
More Steps

Evaluate
(3×5x)−(2×3x)×51
Remove the parentheses
(3×5x)−2×3x×51
Multiply the terms
53x−2×3x×51
Multiply
More Steps

Multiply the terms
2×3x×51
Multiply the numbers
52×3x
Multiply the terms
5×32x
Multiply the terms
152x
53x−152x
53x−152x=0
Rewrite the expression
More Steps

Evaluate
53x−152x
Reduce the fraction
53x−152x
Reduce the fraction
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Evaluate
−152x
Use b−a=−ba=−ba to rewrite the fraction
15−2x
Reduce the fraction
−152x
53x−152x
53x−152x=0
Multiply both sides of the equation by LCD
7x=0
Solution
x=0
Show Solution
