Algebra
Calculus
Trigonometry
Matrix
Question
Simplify the expression
−248x+248
Evaluate
(x−1)×2−10(x−1)×25
Multiply the terms
2(x−1)−10(x−1)×25
Multiply the terms
2(x−1)−250(x−1)
Expand the expression
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Calculate
2(x−1)
Apply the distributive property
2x−2×1
Any expression multiplied by 1 remains the same
2x−2
2x−2−250(x−1)
Expand the expression
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Calculate
−250(x−1)
Apply the distributive property
−250x−(−250×1)
Any expression multiplied by 1 remains the same
−250x−(−250)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
−250x+250
2x−2−250x+250
Subtract the terms
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Evaluate
2x−250x
Collect like terms by calculating the sum or difference of their coefficients
(2−250)x
Subtract the numbers
−248x
−248x−2+250
Solution
−248x+248
Show Solution
Factor the expression
−248(x−1)
Evaluate
(x−1)×2−10(x−1)×25
Multiply the terms
2(x−1)−10(x−1)×25
Multiply the terms
2(x−1)−250(x−1)
Subtract the terms
−124(2x−2)
Factor the expression
−124×2(x−1)
Solution
−248(x−1)
Show Solution
Find the roots
x=1
Evaluate
(x−1)×2−10(x−1)×25
To find the roots of the expression,set the expression equal to 0
(x−1)×2−10(x−1)×25=0
Multiply the terms
2(x−1)−10(x−1)×25=0
Multiply the terms
2(x−1)−250(x−1)=0
Subtract the terms
−124(2x−2)=0
Change the sign
124(2x−2)=0
Rewrite the expression
2x−2=0
Move the constant to the right side
2x=0+2
Removing 0 doesn't change the value,so remove it from the expression
2x=2
Divide both sides
22x=22
Divide the numbers
x=22
Solution
More Steps
Evaluate
22
Reduce the numbers
11
Calculate
1
x=1
Show Solution