(5x+8)(5x-3)=

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Solution for (5x+8)(5x-3)= equation:


Simplifying
(5x + 8)(5x + -3) = 0

Reorder the terms:
(8 + 5x)(5x + -3) = 0

Reorder the terms:
(8 + 5x)(-3 + 5x) = 0

Multiply (8 + 5x) * (-3 + 5x)
(8(-3 + 5x) + 5x * (-3 + 5x)) = 0
((-3 * 8 + 5x * 8) + 5x * (-3 + 5x)) = 0
((-24 + 40x) + 5x * (-3 + 5x)) = 0
(-24 + 40x + (-3 * 5x + 5x * 5x)) = 0
(-24 + 40x + (-15x + 25x2)) = 0

Combine like terms: 40x + -15x = 25x
(-24 + 25x + 25x2) = 0

Solving
-24 + 25x + 25x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-8 + -5x)(3 + -5x) = 0

Subproblem 1

Set the factor '(-8 + -5x)' equal to zero and attempt to solve: Simplifying -8 + -5x = 0 Solving -8 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -5x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -5x = 0 + 8 -5x = 0 + 8 Combine like terms: 0 + 8 = 8 -5x = 8 Divide each side by '-5'. x = -1.6 Simplifying x = -1.6

Subproblem 2

Set the factor '(3 + -5x)' equal to zero and attempt to solve: Simplifying 3 + -5x = 0 Solving 3 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 0 + -3 -5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6

Solution

x = {-1.6, 0.6}

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