25x^2+49=-70x

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Solution for 25x^2+49=-70x equation:


Simplifying
25x2 + 49 = -70x

Reorder the terms:
49 + 25x2 = -70x

Solving
49 + 25x2 = -70x

Solving for variable 'x'.

Reorder the terms:
49 + 70x + 25x2 = -70x + 70x

Combine like terms: -70x + 70x = 0
49 + 70x + 25x2 = 0

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

Subproblem 1

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

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 = {-1.4, -1.4}

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