7-5x-12x^2=0

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Solution for 7-5x-12x^2=0 equation:


Simplifying
7 + -5x + -12x2 = 0

Solving
7 + -5x + -12x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(7 + -12x)(1 + x) = 0

Subproblem 1

Set the factor '(7 + -12x)' equal to zero and attempt to solve: Simplifying 7 + -12x = 0 Solving 7 + -12x = 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 + -12x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -12x = 0 + -7 -12x = 0 + -7 Combine like terms: 0 + -7 = -7 -12x = -7 Divide each side by '-12'. x = 0.5833333333 Simplifying x = 0.5833333333

Subproblem 2

Set the factor '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Simplifying x = -1

Solution

x = {0.5833333333, -1}

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