7x^2+35=-54x

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Solution for 7x^2+35=-54x equation:


Simplifying
7x2 + 35 = -54x

Reorder the terms:
35 + 7x2 = -54x

Solving
35 + 7x2 = -54x

Solving for variable 'x'.

Reorder the terms:
35 + 54x + 7x2 = -54x + 54x

Combine like terms: -54x + 54x = 0
35 + 54x + 7x2 = 0

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

Subproblem 1

Set the factor '(7 + x)' equal to zero and attempt to solve: Simplifying 7 + x = 0 Solving 7 + x = 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 + x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + x = 0 + -7 x = 0 + -7 Combine like terms: 0 + -7 = -7 x = -7 Simplifying x = -7

Subproblem 2

Set the factor '(5 + 7x)' equal to zero and attempt to solve: Simplifying 5 + 7x = 0 Solving 5 + 7x = 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 + 7x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 7x = 0 + -5 7x = 0 + -5 Combine like terms: 0 + -5 = -5 7x = -5 Divide each side by '7'. x = -0.7142857143 Simplifying x = -0.7142857143

Solution

x = {-7, -0.7142857143}

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