(5a-7)(2a+5)=

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Solution for (5a-7)(2a+5)= equation:


Simplifying
(5a + -7)(2a + 5) = 0

Reorder the terms:
(-7 + 5a)(2a + 5) = 0

Reorder the terms:
(-7 + 5a)(5 + 2a) = 0

Multiply (-7 + 5a) * (5 + 2a)
(-7(5 + 2a) + 5a * (5 + 2a)) = 0
((5 * -7 + 2a * -7) + 5a * (5 + 2a)) = 0
((-35 + -14a) + 5a * (5 + 2a)) = 0
(-35 + -14a + (5 * 5a + 2a * 5a)) = 0
(-35 + -14a + (25a + 10a2)) = 0

Combine like terms: -14a + 25a = 11a
(-35 + 11a + 10a2) = 0

Solving
-35 + 11a + 10a2 = 0

Solving for variable 'a'.

Factor a trinomial.
(-5 + -2a)(7 + -5a) = 0

Subproblem 1

Set the factor '(-5 + -2a)' equal to zero and attempt to solve: Simplifying -5 + -2a = 0 Solving -5 + -2a = 0 Move all terms containing a to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -2a = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -2a = 0 + 5 -2a = 0 + 5 Combine like terms: 0 + 5 = 5 -2a = 5 Divide each side by '-2'. a = -2.5 Simplifying a = -2.5

Subproblem 2

Set the factor '(7 + -5a)' equal to zero and attempt to solve: Simplifying 7 + -5a = 0 Solving 7 + -5a = 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 + -5a = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -5a = 0 + -7 -5a = 0 + -7 Combine like terms: 0 + -7 = -7 -5a = -7 Divide each side by '-5'. a = 1.4 Simplifying a = 1.4

Solution

a = {-2.5, 1.4}

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