84x^2+44x-63=0

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Solution for 84x^2+44x-63=0 equation:


Simplifying
84x2 + 44x + -63 = 0

Reorder the terms:
-63 + 44x + 84x2 = 0

Solving
-63 + 44x + 84x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(-7 + -6x)(9 + -14x) = 0

Subproblem 1

Set the factor '(-7 + -6x)' equal to zero and attempt to solve: Simplifying -7 + -6x = 0 Solving -7 + -6x = 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 + -6x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -6x = 0 + 7 -6x = 0 + 7 Combine like terms: 0 + 7 = 7 -6x = 7 Divide each side by '-6'. x = -1.166666667 Simplifying x = -1.166666667

Subproblem 2

Set the factor '(9 + -14x)' equal to zero and attempt to solve: Simplifying 9 + -14x = 0 Solving 9 + -14x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -14x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -14x = 0 + -9 -14x = 0 + -9 Combine like terms: 0 + -9 = -9 -14x = -9 Divide each side by '-14'. x = 0.6428571429 Simplifying x = 0.6428571429

Solution

x = {-1.166666667, 0.6428571429}

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