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Simplifying (4x + -3)(4x + -3) + -9 = 4x(4x + -6) Reorder the terms: (-3 + 4x)(4x + -3) + -9 = 4x(4x + -6) Reorder the terms: (-3 + 4x)(-3 + 4x) + -9 = 4x(4x + -6) Multiply (-3 + 4x) * (-3 + 4x) (-3(-3 + 4x) + 4x * (-3 + 4x)) + -9 = 4x(4x + -6) ((-3 * -3 + 4x * -3) + 4x * (-3 + 4x)) + -9 = 4x(4x + -6) ((9 + -12x) + 4x * (-3 + 4x)) + -9 = 4x(4x + -6) (9 + -12x + (-3 * 4x + 4x * 4x)) + -9 = 4x(4x + -6) (9 + -12x + (-12x + 16x2)) + -9 = 4x(4x + -6) Combine like terms: -12x + -12x = -24x (9 + -24x + 16x2) + -9 = 4x(4x + -6) Reorder the terms: 9 + -9 + -24x + 16x2 = 4x(4x + -6) Combine like terms: 9 + -9 = 0 0 + -24x + 16x2 = 4x(4x + -6) -24x + 16x2 = 4x(4x + -6) Reorder the terms: -24x + 16x2 = 4x(-6 + 4x) -24x + 16x2 = (-6 * 4x + 4x * 4x) -24x + 16x2 = (-24x + 16x2) Add '24x' to each side of the equation. -24x + 24x + 16x2 = -24x + 24x + 16x2 Combine like terms: -24x + 24x = 0 0 + 16x2 = -24x + 24x + 16x2 16x2 = -24x + 24x + 16x2 Combine like terms: -24x + 24x = 0 16x2 = 0 + 16x2 16x2 = 16x2 Add '-16x2' to each side of the equation. 16x2 + -16x2 = 16x2 + -16x2 Combine like terms: 16x2 + -16x2 = 0 0 = 16x2 + -16x2 Combine like terms: 16x2 + -16x2 = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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