Distribute 0.8: First, we need to distribute the 0.8 across the terms inside the parentheses. (0.8a - 2000) * 0.8 = 0.8 * 0.8a - 0.8 * 2000Perform Multiplication: Now, we perform the multiplication. 0.8 * 0.8a = 0.64a 0.8 * 2000 = 1600 So, the equation becomes 0.64a - 1600 = 5000Isolate 'a': Next, we need to isolate the term with 'a' on one side of the equation. To do this, we add 1600 to both sides of the equation. 0.64a - 1600 + 1600 = 5000 + 1600 0.64a = 6600Divide to Solve: Now, we divide both sides of the equation by 0.64 to solve for 'a'. 0.64a / 0.64 = 6600 / 0.64 a = 10312.5

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$(0.8a-2000)\times0.8=5000$

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Math Problems

Algebra 2

Add, subtract, multiply, and divide polynomials

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(0.8a-2000)\times0.8=5000

Distribute $0$ . $8$ : First, we need to distribute the $0.8$ across the terms inside the parentheses. $\newline$ $(0.8a - 2000) \times 0.8 = 0.8 \times 0.8a - 0.8 \times 2000$
Perform Multiplication: Now, we perform the multiplication. $\newline$ $0.8 \times 0.8a = 0.64a$ $\newline$ $0.8 \times 2000 = 1600$ $\newline$ So, the equation becomes $0.64a - 1600 = 5000$
Isolate 'a': Next, we need to isolate the term with 'a' on one side of the equation. To do this, we add $1600$ to both sides of the equation. $\newline$ $0.64a - 1600 + 1600 = 5000 + 1600$ $\newline$ $0.64a = 6600$
Divide to Solve: Now, we divide both sides of the equation by $0.64$ to solve for ' $a$ '. $\newline$ $\frac{0.64a}{0.64} = \frac{6600}{0.64}$ $\newline$ $a = 10312.5$