Pregunta
Solve for \( m \) : \( 4-2(4 m-2)=0 \)
Ask by May Young. in Uganda
Feb 17,2025
Solución de inteligencia artificial de Upstudy
Respuesta verificada por el tutor
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\( m=1 \)
Solución
Solve the equation \( 4-2(4m-2)=0 \).
Solve the equation by following steps:
- step0: Solve for \(m\):
\(4-2\left(4m-2\right)=0\)
- step1: Calculate:
\(8-8m=0\)
- step2: Move the constant to the right side:
\(-8m=0-8\)
- step3: Remove 0:
\(-8m=-8\)
- step4: Change the signs:
\(8m=8\)
- step5: Divide both sides:
\(\frac{8m}{8}=\frac{8}{8}\)
- step6: Divide the numbers:
\(m=1\)
The solution to the equation \(4-2(4m-2)=0\) is \(m=1\).
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Simplifique esta solución Extra Insights
Let's solve the equation step by step. First, distribute the -2: \[ 4 - 2(4m - 2) = 0 \] \[ 4 - 8m + 4 = 0 \] Combine like terms: \[ 8 - 8m = 0 \] Next, isolate \( m \): \[ -8m = -8 \] \[ m = 1 \] Therefore, the solution for \( m \) is \( m = 1 \). To double-check: substitute \( m \) back into the original equation: \[ 4 - 2(4(1) - 2) = 4 - 2(4 - 2) = 4 - 2(2) = 4 - 4 = 0 \] So the solution is confirmed!
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