Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
x=−1070
Alternative Form
x≈−0.83666
Evaluate
5x∣2x∣=−7
Separate the equation into 2 possible cases
5x×2x=−7,2x≥05x(−2x)=−7,2x<0
Evaluate
More Steps
Evaluate
5x×2x=−7
Calculate
10x×x=−7
Expand the expression
10x2=−7
Since the left-hand side is always positive or 0,and the right-hand side is always negative,the statement is false for any value of x
x∈/R
x∈/R,2x≥05x(−2x)=−7,2x<0
Evaluate
x∈/R,x≥05x(−2x)=−7,2x<0
Evaluate
More Steps
Evaluate
5x(−2x)=−7
Calculate
−10x×x=−7
Expand the expression
−10x2=−7
Change the signs on both sides of the equation
10x2=7
Divide both sides
1010x2=107
Divide the numbers
x2=107
Take the root of both sides of the equation and remember to use both positive and negative roots
x=±107
Simplify the expression
More Steps
Evaluate
107
To take a root of a fraction,take the root of the numerator and denominator separately
107
Multiply by the Conjugate
10×107×10
Multiply the numbers
10×1070
When a square root of an expression is multiplied by itself,the result is that expression
1070
x=±1070
Separate the equation into 2 possible cases
x=1070x=−1070
x∈/R,x≥0x=1070x=−1070,2x<0
Evaluate
x∈/R,x≥0x=1070x=−1070,x<0
Find the intersection
x∈/Rx=1070x=−1070,x<0
Find the intersection
x∈/Rx=−1070
Solution
x=−1070
Alternative Form
x≈−0.83666
Show Solution
Graph
