2x^2-19x=-7x^2-3x-7

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Solution for 2x^2-19x=-7x^2-3x-7 equation:


Simplifying
2x2 + -19x = -7x2 + -3x + -7

Reorder the terms:
-19x + 2x2 = -7x2 + -3x + -7

Reorder the terms:
-19x + 2x2 = -7 + -3x + -7x2

Solving
-19x + 2x2 = -7 + -3x + -7x2

Solving for variable 'x'.

Reorder the terms:
7 + -19x + 3x + 2x2 + 7x2 = -7 + -3x + -7x2 + 7 + 3x + 7x2

Combine like terms: -19x + 3x = -16x
7 + -16x + 2x2 + 7x2 = -7 + -3x + -7x2 + 7 + 3x + 7x2

Combine like terms: 2x2 + 7x2 = 9x2
7 + -16x + 9x2 = -7 + -3x + -7x2 + 7 + 3x + 7x2

Reorder the terms:
7 + -16x + 9x2 = -7 + 7 + -3x + 3x + -7x2 + 7x2

Combine like terms: -7 + 7 = 0
7 + -16x + 9x2 = 0 + -3x + 3x + -7x2 + 7x2
7 + -16x + 9x2 = -3x + 3x + -7x2 + 7x2

Combine like terms: -3x + 3x = 0
7 + -16x + 9x2 = 0 + -7x2 + 7x2
7 + -16x + 9x2 = -7x2 + 7x2

Combine like terms: -7x2 + 7x2 = 0
7 + -16x + 9x2 = 0

Factor a trinomial.
(7 + -9x)(1 + -1x) = 0

Subproblem 1

Set the factor '(7 + -9x)' equal to zero and attempt to solve: Simplifying 7 + -9x = 0 Solving 7 + -9x = 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 + -9x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -9x = 0 + -7 -9x = 0 + -7 Combine like terms: 0 + -7 = -7 -9x = -7 Divide each side by '-9'. x = 0.7777777778 Simplifying x = 0.7777777778

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 = {0.7777777778, 1}

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