(2x+5)(7x-9)=

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Solution for (2x+5)(7x-9)= equation:


Simplifying
(2x + 5)(7x + -9) = 0

Reorder the terms:
(5 + 2x)(7x + -9) = 0

Reorder the terms:
(5 + 2x)(-9 + 7x) = 0

Multiply (5 + 2x) * (-9 + 7x)
(5(-9 + 7x) + 2x * (-9 + 7x)) = 0
((-9 * 5 + 7x * 5) + 2x * (-9 + 7x)) = 0
((-45 + 35x) + 2x * (-9 + 7x)) = 0
(-45 + 35x + (-9 * 2x + 7x * 2x)) = 0
(-45 + 35x + (-18x + 14x2)) = 0

Combine like terms: 35x + -18x = 17x
(-45 + 17x + 14x2) = 0

Solving
-45 + 17x + 14x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-5 + -2x)(9 + -7x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(9 + -7x)' equal to zero and attempt to solve: Simplifying 9 + -7x = 0 Solving 9 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -7x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -7x = 0 + -9 -7x = 0 + -9 Combine like terms: 0 + -9 = -9 -7x = -9 Divide each side by '-7'. x = 1.285714286 Simplifying x = 1.285714286

Solution

x = {-2.5, 1.285714286}

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