64x^2+112x=-49

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Solution for 64x^2+112x=-49 equation:


Simplifying
64x2 + 112x = -49

Reorder the terms:
112x + 64x2 = -49

Solving
112x + 64x2 = -49

Solving for variable 'x'.

Reorder the terms:
49 + 112x + 64x2 = -49 + 49

Combine like terms: -49 + 49 = 0
49 + 112x + 64x2 = 0

Factor a trinomial.
(7 + 8x)(7 + 8x) = 0

Subproblem 1

Set the factor '(7 + 8x)' equal to zero and attempt to solve: Simplifying 7 + 8x = 0 Solving 7 + 8x = 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 + 8x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = 0 + -7 8x = 0 + -7 Combine like terms: 0 + -7 = -7 8x = -7 Divide each side by '8'. x = -0.875 Simplifying x = -0.875

Subproblem 2

Set the factor '(7 + 8x)' equal to zero and attempt to solve: Simplifying 7 + 8x = 0 Solving 7 + 8x = 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 + 8x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 8x = 0 + -7 8x = 0 + -7 Combine like terms: 0 + -7 = -7 8x = -7 Divide each side by '8'. x = -0.875 Simplifying x = -0.875

Solution

x = {-0.875, -0.875}

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