x(24x+59)=-7

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Solution for x(24x+59)=-7 equation:


Simplifying
x(24x + 59) = -7

Reorder the terms:
x(59 + 24x) = -7
(59 * x + 24x * x) = -7
(59x + 24x2) = -7

Solving
59x + 24x2 = -7

Solving for variable 'x'.

Reorder the terms:
7 + 59x + 24x2 = -7 + 7

Combine like terms: -7 + 7 = 0
7 + 59x + 24x2 = 0

Factor a trinomial.
(7 + 3x)(1 + 8x) = 0

Subproblem 1

Set the factor '(7 + 3x)' equal to zero and attempt to solve: Simplifying 7 + 3x = 0 Solving 7 + 3x = 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 + 3x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3x = 0 + -7 3x = 0 + -7 Combine like terms: 0 + -7 = -7 3x = -7 Divide each side by '3'. x = -2.333333333 Simplifying x = -2.333333333

Subproblem 2

Set the factor '(1 + 8x)' equal to zero and attempt to solve: Simplifying 1 + 8x = 0 Solving 1 + 8x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 8x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 8x = 0 + -1 8x = 0 + -1 Combine like terms: 0 + -1 = -1 8x = -1 Divide each side by '8'. x = -0.125 Simplifying x = -0.125

Solution

x = {-2.333333333, -0.125}

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