56x^2-63=62x

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Solution for 56x^2-63=62x equation:


Simplifying
56x2 + -63 = 62x

Reorder the terms:
-63 + 56x2 = 62x

Solving
-63 + 56x2 = 62x

Solving for variable 'x'.

Reorder the terms:
-63 + -62x + 56x2 = 62x + -62x

Combine like terms: 62x + -62x = 0
-63 + -62x + 56x2 = 0

Factor a trinomial.
(-9 + -14x)(7 + -4x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(7 + -4x)' equal to zero and attempt to solve: Simplifying 7 + -4x = 0 Solving 7 + -4x = 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 + -4x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 0 + -7 -4x = 0 + -7 Combine like terms: 0 + -7 = -7 -4x = -7 Divide each side by '-4'. x = 1.75 Simplifying x = 1.75

Solution

x = {-0.6428571429, 1.75}

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