2a^2+11a-63=

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Solution for 2a^2+11a-63= equation:


Simplifying
2a2 + 11a + -63 = 0

Reorder the terms:
-63 + 11a + 2a2 = 0

Solving
-63 + 11a + 2a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-9 + -1a)(7 + -2a) = 0

Subproblem 1

Set the factor '(-9 + -1a)' equal to zero and attempt to solve: Simplifying -9 + -1a = 0 Solving -9 + -1a = 0 Move all terms containing a to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -1a = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -1a = 0 + 9 -1a = 0 + 9 Combine like terms: 0 + 9 = 9 -1a = 9 Divide each side by '-1'. a = -9 Simplifying a = -9

Subproblem 2

Set the factor '(7 + -2a)' equal to zero and attempt to solve: Simplifying 7 + -2a = 0 Solving 7 + -2a = 0 Move all terms containing a to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2a = 0 + -7 -2a = 0 + -7 Combine like terms: 0 + -7 = -7 -2a = -7 Divide each side by '-2'. a = 3.5 Simplifying a = 3.5

Solution

a = {-9, 3.5}

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