25X^2+20X=-4

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Solution for 25X^2+20X=-4 equation:


Simplifying
25X2 + 20X = -4

Reorder the terms:
20X + 25X2 = -4

Solving
20X + 25X2 = -4

Solving for variable 'X'.

Reorder the terms:
4 + 20X + 25X2 = -4 + 4

Combine like terms: -4 + 4 = 0
4 + 20X + 25X2 = 0

Factor a trinomial.
(2 + 5X)(2 + 5X) = 0

Subproblem 1

Set the factor '(2 + 5X)' equal to zero and attempt to solve: Simplifying 2 + 5X = 0 Solving 2 + 5X = 0 Move all terms containing X to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5X = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5X = 0 + -2 5X = 0 + -2 Combine like terms: 0 + -2 = -2 5X = -2 Divide each side by '5'. X = -0.4 Simplifying X = -0.4

Subproblem 2

Set the factor '(2 + 5X)' equal to zero and attempt to solve: Simplifying 2 + 5X = 0 Solving 2 + 5X = 0 Move all terms containing X to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 5X = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5X = 0 + -2 5X = 0 + -2 Combine like terms: 0 + -2 = -2 5X = -2 Divide each side by '5'. X = -0.4 Simplifying X = -0.4

Solution

X = {-0.4, -0.4}

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