Quadratic equations: Solving quadratic equations
Solving quadratic equations by factorization
Solving the following equation by means of factorization can be done in steps. Drag the steps in the correct order.
\[-3\cdot p^2+16\cdot p+78=-2\cdot p^2+8\cdot p+93\tiny\]
The center column shows the steps in words, the right column shows the equation after the step is applied.
\[-3\cdot p^2+16\cdot p+78=-2\cdot p^2+8\cdot p+93\tiny\]
The center column shows the steps in words, the right column shows the equation after the step is applied.
- step 1
- step 2
- step 3
- step 4
- step 5
- reduce to #0#
- divided by #-1#
- #A\cdot B=0# gives #A=0\lor B=0#
- left hand side factorized
- constant terms to the right hand side
- #p^2-8\cdot p+15=0#
- #\left(p-5\right)\cdot \left(p-3\right)=0#
- #-p^2+8\cdot p-15=0#
- #p = 5\lor p = 3#
- #p-5=0 \lor p-3=0#
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