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Exercise

$x^2=7x+18$

Step-by-step Solution

Learn how to solve differential equations problems step by step online. Solve the quadratic equation x^2=7x+18. Move everything to the left hand side of the equation. Factor the trinomial x^2-7x-18 finding two numbers that multiply to form -18 and added form -7. Rewrite the polynomial as the product of two binomials consisting of the sum of the variable and the found values. Break the equation in 2 factors and set each factor equal to zero, to obtain simpler equations.
Solve the quadratic equation x^2=7x+18

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Final answer to the exercise

$x=-2,\:x=9$

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