Solve Using the Square Root Property 6x^2-15x=0

Math
6×2-15x=0
Factor 3x out of 6×2-15x.
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Factor 3x out of 6×2.
3x(2x)-15x=0
Factor 3x out of -15x.
3x(2x)+3x(-5)=0
Factor 3x out of 3x(2x)+3x(-5).
3x(2x-5)=0
3x(2x-5)=0
Divide each term by 3 and simplify.
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Divide each term in 3x(2x-5)=0 by 3.
3x(2x-5)3=03
Simplify 3x(2x-5)3.
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Simplify terms.
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Cancel the common factor of 3.
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Cancel the common factor.
3x(2x-5)3=03
Divide x(2x-5) by 1.
x(2x-5)=03
x(2x-5)=03
Apply the distributive property.
x(2x)+x⋅-5=03
Reorder.
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Rewrite using the commutative property of multiplication.
2x⋅x+x⋅-5=03
Move -5 to the left of x.
2x⋅x-5⋅x=03
2x⋅x-5⋅x=03
2x⋅x-5⋅x=03
Multiply x by x by adding the exponents.
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Move x.
2(x⋅x)-5⋅x=03
Multiply x by x.
2×2-5⋅x=03
2×2-5x=03
2×2-5x=03
Divide 0 by 3.
2×2-5x=0
2×2-5x=0
Factor x out of 2×2-5x.
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Factor x out of 2×2.
x(2x)-5x=0
Factor x out of -5x.
x(2x)+x⋅-5=0
Factor x out of x(2x)+x⋅-5.
x(2x-5)=0
x(2x-5)=0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
x=0
2x-5=0
Set the first factor equal to 0.
x=0
Set the next factor equal to 0 and solve.
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Set the next factor equal to 0.
2x-5=0
Add 5 to both sides of the equation.
2x=5
Divide each term by 2 and simplify.
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Divide each term in 2x=5 by 2.
2×2=52
Cancel the common factor of 2.
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Cancel the common factor.
2×2=52
Divide x by 1.
x=52
x=52
x=52
x=52
The final solution is all the values that make x(2x-5)=0 true.
x=0,52
Solve Using the Square Root Property 6x^2-15x=0

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