14x^2-30x-48=-4x

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Solution for 14x^2-30x-48=-4x equation:


Simplifying
14x2 + -30x + -48 = -4x

Reorder the terms:
-48 + -30x + 14x2 = -4x

Solving
-48 + -30x + 14x2 = -4x

Solving for variable 'x'.

Reorder the terms:
-48 + -30x + 4x + 14x2 = -4x + 4x

Combine like terms: -30x + 4x = -26x
-48 + -26x + 14x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
-48 + -26x + 14x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-24 + -13x + 7x2) = 0

Factor a trinomial.
2((-8 + -7x)(3 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-8 + -7x)' equal to zero and attempt to solve: Simplifying -8 + -7x = 0 Solving -8 + -7x = 0 Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -7x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -7x = 0 + 8 -7x = 0 + 8 Combine like terms: 0 + 8 = 8 -7x = 8 Divide each side by '-7'. x = -1.142857143 Simplifying x = -1.142857143

Subproblem 2

Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3

Solution

x = {-1.142857143, 3}

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