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\( h = -40 \) or \( h = 0 \)
Solución
Solve the equation \( h^{2}+40h=0 \).
Solve the quadratic equation by following steps:
- step0: Solve by factoring:
\(h^{2}+40h=0\)
- step1: Factor the expression:
\(h\left(h+40\right)=0\)
- step2: Separate into possible cases:
\(\begin{align}&h=0\\&h+40=0\end{align}\)
- step3: Solve the equation:
\(\begin{align}&h=0\\&h=-40\end{align}\)
- step4: Rewrite:
\(h_{1}=-40,h_{2}=0\)
The solutions to the equation \(h^{2}+40h=0\) are \(h=-40\) and \(h=0\).
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Simplifique esta solución Bonus Knowledge
To solve the equation \( h^{2}+40h=0 \), we can factor it. First, we can factor out \( h \): \[ h(h + 40) = 0. \] Setting each factor equal to zero gives us the possible solutions. 1. \( h = 0 \) 2. \( h + 40 = 0 \) which simplifies to \( h = -40 \) Thus, the solutions for \( h \) are \( h = 0 \) and \( h = -40 \).
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