(2x+8)(5x+7)=

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Solution for (2x+8)(5x+7)= equation:


Simplifying
(2x + 8)(5x + 7) = 0

Reorder the terms:
(8 + 2x)(5x + 7) = 0

Reorder the terms:
(8 + 2x)(7 + 5x) = 0

Multiply (8 + 2x) * (7 + 5x)
(8(7 + 5x) + 2x * (7 + 5x)) = 0
((7 * 8 + 5x * 8) + 2x * (7 + 5x)) = 0
((56 + 40x) + 2x * (7 + 5x)) = 0
(56 + 40x + (7 * 2x + 5x * 2x)) = 0
(56 + 40x + (14x + 10x2)) = 0

Combine like terms: 40x + 14x = 54x
(56 + 54x + 10x2) = 0

Solving
56 + 54x + 10x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2'.
2(28 + 27x + 5x2) = 0

Factor a trinomial.
2((4 + x)(7 + 5x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4

Subproblem 2

Set the factor '(7 + 5x)' equal to zero and attempt to solve: Simplifying 7 + 5x = 0 Solving 7 + 5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 5x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = 0 + -7 5x = 0 + -7 Combine like terms: 0 + -7 = -7 5x = -7 Divide each side by '5'. x = -1.4 Simplifying x = -1.4

Solution

x = {-4, -1.4}

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