7x^2+14x-18=3

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Solution for 7x^2+14x-18=3 equation:


Simplifying
7x2 + 14x + -18 = 3

Reorder the terms:
-18 + 14x + 7x2 = 3

Solving
-18 + 14x + 7x2 = 3

Solving for variable 'x'.

Reorder the terms:
-18 + -3 + 14x + 7x2 = 3 + -3

Combine like terms: -18 + -3 = -21
-21 + 14x + 7x2 = 3 + -3

Combine like terms: 3 + -3 = 0
-21 + 14x + 7x2 = 0

Factor out the Greatest Common Factor (GCF), '7'.
7(-3 + 2x + x2) = 0

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

Ignore the factor 7.

Subproblem 1

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

Subproblem 2

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

Solution

x = {-3, 1}

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