4x^2+30=-29x

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Solution for 4x^2+30=-29x equation:


Simplifying
4x2 + 30 = -29x

Reorder the terms:
30 + 4x2 = -29x

Solving
30 + 4x2 = -29x

Solving for variable 'x'.

Reorder the terms:
30 + 29x + 4x2 = -29x + 29x

Combine like terms: -29x + 29x = 0
30 + 29x + 4x2 = 0

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

Subproblem 1

Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 x = -6 Simplifying x = -6

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 = {-6, -1.25}

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