16x^2-7x=17x-9

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Solution for 16x^2-7x=17x-9 equation:


Simplifying
16x2 + -7x = 17x + -9

Reorder the terms:
-7x + 16x2 = 17x + -9

Reorder the terms:
-7x + 16x2 = -9 + 17x

Solving
-7x + 16x2 = -9 + 17x

Solving for variable 'x'.

Reorder the terms:
9 + -7x + -17x + 16x2 = -9 + 17x + 9 + -17x

Combine like terms: -7x + -17x = -24x
9 + -24x + 16x2 = -9 + 17x + 9 + -17x

Reorder the terms:
9 + -24x + 16x2 = -9 + 9 + 17x + -17x

Combine like terms: -9 + 9 = 0
9 + -24x + 16x2 = 0 + 17x + -17x
9 + -24x + 16x2 = 17x + -17x

Combine like terms: 17x + -17x = 0
9 + -24x + 16x2 = 0

Factor a trinomial.
(3 + -4x)(3 + -4x) = 0

Subproblem 1

Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 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 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75

Subproblem 2

Set the factor '(3 + -4x)' equal to zero and attempt to solve: Simplifying 3 + -4x = 0 Solving 3 + -4x = 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 + -4x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4x = 0 + -3 -4x = 0 + -3 Combine like terms: 0 + -3 = -3 -4x = -3 Divide each side by '-4'. x = 0.75 Simplifying x = 0.75

Solution

x = {0.75, 0.75}

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