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Find the missing factor A that makes the equality true. {:[8x^(3)=(-2x)(A)],[A=◻]:}

Find the missing factor A A that makes the equality true.\newline8x3=(−2x)(A)A=□ \begin{array}{l} 8 x^{3}=(-2 x)(A) \\ A=\square \end{array}

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Integer inequalities with absolute valuesright chevron icon

Full solution

Q. Find the missing factor A A that makes the equality true.\newline8x3=(−2x)(A)A=□ \begin{array}{l} 8 x^{3}=(-2 x)(A) \\ A=\square \end{array}
  1. Identify equation and goal: Identify the given equation and the goal. We are given the equation 8x3=(−2x)A8x^3 = (-2x)A and we need to find the value of AA.
  2. Isolate variable A: Isolate the variable A by dividing both sides of the equation by −2-2x. This will give us A on one side of the equation.\newlineCalculation: A = \frac{88x^33}{−2-2x}
  3. Simplify right side: Simplify the right side of the equation by canceling out the common factor xx from the numerator and denominator.\newlineCalculation: A=8x2−2A = \frac{8x^2}{-2}
  4. Further simplify right side: Further simplify the right side by dividing 88 by −2-2.\newlineCalculation: A=−4x2A = -4x^2

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