4x^2+25x=-25

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Solution for 4x^2+25x=-25 equation:


Simplifying
4x2 + 25x = -25

Reorder the terms:
25x + 4x2 = -25

Solving
25x + 4x2 = -25

Solving for variable 'x'.

Reorder the terms:
25 + 25x + 4x2 = -25 + 25

Combine like terms: -25 + 25 = 0
25 + 25x + 4x2 = 0

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

Subproblem 1

Set the factor '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 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 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5

Subproblem 2

Set the factor '(5 + 4x)' equal to zero and attempt to solve: Simplifying 5 + 4x = 0 Solving 5 + 4x = 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 + 4x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4x = 0 + -5 4x = 0 + -5 Combine like terms: 0 + -5 = -5 4x = -5 Divide each side by '4'. x = -1.25 Simplifying x = -1.25

Solution

x = {-5, -1.25}

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